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xln(xln(xln(xln(xln(xln(xln(xlnx)))))))
Derivada de la función/ xln(xln(xln(xln(xln(xln(xln(xlnx)))))))

Derivada de xln(xln(xln(xln(xln(xln(xln(xlnx)))))))

Función f() - derivada -er orden en el punto
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
x*log(x*log(x*log(x*log(x*log(x*log(x*log(x*log(x))))))))
$$x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)} \right)} \right)}$$ 
x*log(x*log(x*log(x*log(x*log(x*log(x*log(x*log(x))))))))
Solución detallada

  1. Se aplica la regla de la derivada de una multiplicación:

    ; calculamos :

    1. Según el principio, aplicamos: tenemos

    ; calculamos :

    1. Sustituimos .

    2. Derivado es .

    3. Luego se aplica una cadena de reglas. Multiplicamos por :

      1. Se aplica la regla de la derivada de una multiplicación:

        ; calculamos :

        1. Según el principio, aplicamos: tenemos

        ; calculamos :

        1. Sustituimos .

        2. Derivado es .

        3. Luego se aplica una cadena de reglas. Multiplicamos por :

          1. Se aplica la regla de la derivada de una multiplicación:

            ; calculamos :

            1. Según el principio, aplicamos: tenemos

            ; calculamos :

            1. Sustituimos .

            2. Derivado es .

            3. Luego se aplica una cadena de reglas. Multiplicamos por :

              1. Se aplica la regla de la derivada de una multiplicación:

                ; calculamos :

                1. Según el principio, aplicamos: tenemos

                ; calculamos :

                1. Sustituimos .

                2. Derivado es .

                3. Luego se aplica una cadena de reglas. Multiplicamos por :

                  1. Se aplica la regla de la derivada de una multiplicación:

                    ; calculamos :

                    1. Según el principio, aplicamos: tenemos

                    ; calculamos :

                    1. Sustituimos .

                    2. Derivado es .

                    3. Luego se aplica una cadena de reglas. Multiplicamos por :

                      1. Se aplica la regla de la derivada de una multiplicación:

                        ; calculamos :

                        1. Según el principio, aplicamos: tenemos

                        ; calculamos :

                        1. Sustituimos .

                        2. Derivado es .

                        3. Luego se aplica una cadena de reglas. Multiplicamos por :

                          1. Se aplica la regla de la derivada de una multiplicación:

                            ; calculamos :

                            1. Según el principio, aplicamos: tenemos

                            ; calculamos :

                            1. Sustituimos .

                            2. Derivado es .

                            3. Luego se aplica una cadena de reglas. Multiplicamos por :

                              1. Se aplica la regla de la derivada de una multiplicación:

                                ; calculamos :

                                1. Según el principio, aplicamos: tenemos

                                ; calculamos :

                                1. Derivado es .

                                Como resultado de:

                              Como resultado de la secuencia de reglas:

                            Como resultado de:

                          Como resultado de la secuencia de reglas:

                        Como resultado de:

                      Como resultado de la secuencia de reglas:

                    Como resultado de:

                  Como resultado de la secuencia de reglas:

                Como resultado de:

              Como resultado de la secuencia de reglas:

            Como resultado de:

          Como resultado de la secuencia de reglas:

        Como resultado de:

      Como resultado de la secuencia de reglas:

    Como resultado de:

Respuesta:

Gráfica
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
1 + log(x)                                                                                                                                                                                                                                                                   
---------- + log(x*log(x))                                                                                                                                                                                                                                                   
  log(x)                                                                                                                                                                                                                                                                     
-------------------------- + log(x*log(x*log(x)))                                                                                                                                                                                                                            
      log(x*log(x))                                                                                                                                                                                                                                                          
------------------------------------------------- + log(x*log(x*log(x*log(x))))                                                                                                                                                                                              
               log(x*log(x*log(x)))                                                                                                                                                                                                                                          
------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))                                                                                                                                                         
                          log(x*log(x*log(x*log(x))))                                                                                                                                                                                                                        
-------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x))))))                                                                                                             
                                         log(x*log(x*log(x*log(x*log(x)))))                                                                                                                                                                                                  
---------------------------------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x*log(x)))))))                                                          
                                                           log(x*log(x*log(x*log(x*log(x*log(x))))))                                                                                                                                                                         
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x*log(x*log(x))))))))
                                                                                  log(x*log(x*log(x*log(x*log(x*log(x*log(x)))))))
$$\frac{\frac{\frac{\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)} \right)} \right)}$$
Simplificar
Segunda derivada [src] 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1 + log(x)                         /1 + log(x)                \                                                /1 + log(x)                                       \                                                                              /1 + log(x)                                                                     \                                                                                                                   /1 + log(x)                                                                                                          \                                                                                                                                                               /1 + log(x)                                                                                                                                                      \                                                                                                                                                                                                                  /1 + log(x)                                                                                                                                                                                                         \                                                   
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          2 - ---------- + log(x)   (1 + log(x))*|---------- + log(x*log(x))|                                                |---------- + log(x*log(x))                       |                                                                              |---------- + log(x*log(x))                                                     |                                                                                                                   |---------- + log(x*log(x))                                                                                          |                                                                                                                                                               |---------- + log(x*log(x))                                                                                                                                      |                                                                                                                                                                                                                  |---------- + log(x*log(x))                                                                                                                                                                                         |                                                   
1 + log(x)                                                                                                                                                         1 + log(x)                                                                                                             1 + log(x)                                                                        1 + log(x)                                          1 + log(x)                   1 + log(x)         log(x)                           \  log(x)                  /                   /1 + log(x)                \ |  log(x)                                         |                          /1 + log(x)                                       \ |  log(x)                                                                       |                                 /1 + log(x)                                                                     \ |  log(x)                                                                                                            |                                        /1 + log(x)                                                                                                          \ |  log(x)                                                                                                                                                        |                                               /1 + log(x)                                                                                                                                                      \ |  log(x)                                                                                                                                                                                                           |                                                   
---------- + log(x*log(x))                                                                                                                                         ---------- + log(x*log(x))                                                                                             ---------- + log(x*log(x))                                                        ---------- + log(x*log(x))                          ---------- + log(x*log(x))   ---------- + ----------------------- - ----------------------------------------- + log(x*log(x))   |---------- + log(x*log(x))|*|-------------------------- + log(x*log(x*log(x)))|                          |---------- + log(x*log(x))                       | |-------------------------- + log(x*log(x*log(x)))                              |                                 |---------- + log(x*log(x))                                                     | |-------------------------- + log(x*log(x*log(x)))                                                                   |                                        |---------- + log(x*log(x))                                                                                          | |-------------------------- + log(x*log(x*log(x)))                                                                                                               |                                               |---------- + log(x*log(x))                                                                                                                                      | |-------------------------- + log(x*log(x*log(x)))                                                                                                                                                                  |                                                   
  log(x)                                                                                                                                                             log(x)                                                                                                                 log(x)                                                                            log(x)                                              log(x)                       log(x)              log(x)                      log(x)*log(x*log(x))                             \  log(x)                  / \      log(x*log(x))                              /                          |  log(x)                                         | |      log(x*log(x))                                                            |                                 |  log(x)                                                                       | |      log(x*log(x))                                                                                                 |                                        |  log(x)                                                                                                            | |      log(x*log(x))                                                                                                                                             |                                               |  log(x)                                                                                                                                                        | |      log(x*log(x))                                                                                                                                                                                                |                                                   
-------------------------- + log(x*log(x*log(x)))                                                                                                                  -------------------------- + log(x*log(x*log(x)))                                                                      -------------------------- + log(x*log(x*log(x)))                                 -------------------------- + log(x*log(x*log(x)))   -------------------------- + ------------------------------------------------------------------------------------------------ - -------------------------------------------------------------------------------- + log(x*log(x*log(x)))   |-------------------------- + log(x*log(x*log(x)))|*|------------------------------------------------- + log(x*log(x*log(x*log(x))))|                                 |-------------------------- + log(x*log(x*log(x)))                              | |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                     |                                        |-------------------------- + log(x*log(x*log(x)))                                                                   | |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                                                                 |                                               |-------------------------- + log(x*log(x*log(x)))                                                                                                               | |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                                                                                                                    |                                                   
      log(x*log(x))                                                                                                                                                      log(x*log(x))                                                                                                          log(x*log(x))                                                                     log(x*log(x))                                       log(x*log(x))                                                   log(x*log(x))                                                                    log(x*log(x))*log(x*log(x*log(x)))                                                 \      log(x*log(x))                              / \               log(x*log(x*log(x)))                                            /                                 |      log(x*log(x))                                                            | |               log(x*log(x*log(x)))                                                                                 |                                        |      log(x*log(x))                                                                                                 | |               log(x*log(x*log(x)))                                                                                                                             |                                               |      log(x*log(x))                                                                                                                                             | |               log(x*log(x*log(x)))                                                                                                                                                                                |                                                   
------------------------------------------------- + log(x*log(x*log(x*log(x))))                                                                                    ------------------------------------------------- + log(x*log(x*log(x*log(x))))                                        ------------------------------------------------- + log(x*log(x*log(x*log(x))))   ------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x))))   |------------------------------------------------- + log(x*log(x*log(x*log(x))))|*|------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))|                                        |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                     | |------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))                                            |                                               |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                                                                 | |------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))                                                                                               |                                                   
               log(x*log(x*log(x)))                                                                                                                                               log(x*log(x*log(x)))                                                                                                   log(x*log(x*log(x)))                                                              log(x*log(x*log(x)))                                                                                                                           log(x*log(x*log(x)))                                                                                                                                                       log(x*log(x*log(x)))*log(x*log(x*log(x*log(x))))                                                                           \               log(x*log(x*log(x)))                                            / \                          log(x*log(x*log(x*log(x))))                                                               /                                        |               log(x*log(x*log(x)))                                                                                 | |                          log(x*log(x*log(x*log(x))))                                                                                                           |                                               |               log(x*log(x*log(x)))                                                                                                                             | |                          log(x*log(x*log(x*log(x))))                                                                                                                                                              |                                                   
------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))                                               ------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))   ------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))   |------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))|*|-------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x))))))|                                               |------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))                                            | |-------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x))))))                                                   |                                                   
                          log(x*log(x*log(x*log(x))))                                                                                                                                        log(x*log(x*log(x*log(x))))                                                                                            log(x*log(x*log(x*log(x))))                                                                                                                                                                                                                                                log(x*log(x*log(x*log(x))))                                                                                                                                                                                                                                                                                           log(x*log(x*log(x*log(x))))*log(x*log(x*log(x*log(x*log(x)))))                                                                                                             \                          log(x*log(x*log(x*log(x))))                                                               / \                                         log(x*log(x*log(x*log(x*log(x)))))                                                                                     /                                               |                          log(x*log(x*log(x*log(x))))                                                                                                           | |                                         log(x*log(x*log(x*log(x*log(x)))))                                                                                                                                        |                                                   
-------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x))))))   -------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x))))))   |-------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x))))))|*|---------------------------------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x*log(x)))))))|                                                   
                                         log(x*log(x*log(x*log(x*log(x)))))                                                                                                                                 log(x*log(x*log(x*log(x*log(x)))))                                                                                                                                                                                                                                                                                                                                                                                                                             log(x*log(x*log(x*log(x*log(x)))))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          log(x*log(x*log(x*log(x*log(x)))))*log(x*log(x*log(x*log(x*log(x*log(x))))))                                                                                                                                                     \                                         log(x*log(x*log(x*log(x*log(x)))))                                                                                     / \                                                           log(x*log(x*log(x*log(x*log(x*log(x))))))                                                                                                               /                                                   
---------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x*log(x)))))))
                                                           log(x*log(x*log(x*log(x*log(x*log(x))))))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           log(x*log(x*log(x*log(x*log(x*log(x))))))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               log(x*log(x*log(x*log(x*log(x*log(x))))))*log(x*log(x*log(x*log(x*log(x*log(x*log(x)))))))                                                                                                                                                                                                  
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 x*log(x*log(x*log(x*log(x*log(x*log(x*log(x)))))))
$$\frac{- \frac{\left(\frac{\frac{\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)} \right)}} + \frac{\frac{\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}} + \frac{- \frac{\left(\frac{\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}} + \frac{\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \frac{- \frac{\left(\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \frac{- \frac{\left(\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \frac{- \frac{\left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right) \left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right)}{\log{\left(x \log{\left(x \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \frac{- \frac{\left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right) \left(\log{\left(x \right)} + 1\right)}{\log{\left(x \right)} \log{\left(x \log{\left(x \right)} \right)}} + \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \frac{- \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \right)} + 2}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)} \right)}}{x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)} \right)}}$$
Simplificar
Tercera derivada [src] 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         2      2*(1 + log(x))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   1 + ------ - -------------- + log(x)       1 + log(x)            1 + log(x)                                /1 + log(x)                \                 2 /1 + log(x)                \                  /    1 + log(x)         \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       log(x)         2                   2 - ---------- + log(x)   ---------- + log(x*log(x))   (1 + log(x))*|---------- + log(x*log(x))|   2*(1 + log(x)) *|---------- + log(x*log(x))|   2*(1 + log(x))*|2 - ---------- + log(x)|                                    1 + log(x)                         /1 + log(x)                \                                                   /1 + log(x)                                       \                                  /                 1 + log(x)                         /1 + log(x)                \                \   /1 + log(x)                                       \                                                                       /1 + log(x)                                       \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1 + log(x)                   log (x)                      log(x)                log(x)                                  \  log(x)                  /                   \  log(x)                  /                  \      log(x)           /                                2 - ---------- + log(x)   (1 + log(x))*|---------- + log(x*log(x))|                                                 2 |---------- + log(x*log(x))                       |                                  |             2 - ---------- + log(x)   (1 + log(x))*|---------- + log(x*log(x))|                |   |---------- + log(x*log(x))                       |                                                                       |---------- + log(x*log(x))                       |                                                                        1 + log(x)                         /1 + log(x)                \                                                /1 + log(x)                                       \                                                                                 /1 + log(x)                                                                     \                                                         /                                              1 + log(x)                         /1 + log(x)                \                                                /1 + log(x)                                       \                       \   /1 + log(x)                                                                     \                                                                                                                                                                                       /1 + log(x)                                                                     \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         1 + log(x)                   ---------- + ------------------------------------ - ----------------------- + -------------------------- - ----------------------------------------- - -------------------------------------------- + ---------------------------------------- + log(x*log(x))   1 + log(x)         log(x)                           \  log(x)                  /                     /1 + log(x)                \  |  log(x)                                         |     /1 + log(x)                \ |1 + log(x)         log(x)                           \  log(x)                  /                |   |  log(x)                                         | /    1 + log(x)         \                /1 + log(x)                \ |  log(x)                                         |                                                                    2 - ---------- + log(x)   (1 + log(x))*|---------- + log(x*log(x))|                                                |---------- + log(x*log(x))                       |                                                                               2 |---------- + log(x*log(x))                                                     |                                                         |                                          2 - ---------- + log(x)   (1 + log(x))*|---------- + log(x*log(x))|                                                |---------- + log(x*log(x))                       |                       |   |---------- + log(x*log(x))                                                     |                                                                                                                                                                                       |---------- + log(x*log(x))                                                     |                                                                                                                                   1 + log(x)                         /1 + log(x)                \                                                /1 + log(x)                                       \                                                                              /1 + log(x)                                                                     \                                                                                                                      /1 + log(x)                                                                                                          \                                                                                       /                                                                                                  1 + log(x)                         /1 + log(x)                \                                                /1 + log(x)                                       \                                                                              /1 + log(x)                                                                     \                              \   /1 + log(x)                                                                                                          \                                                                                                                                                                                                                                                                                                                                                                                   /1 + log(x)                                                                                                          \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     1 + log(x)                                          ---------- + log(x*log(x))     log(x)                    log(x)                           log(x)              log(x)*log(x*log(x))                   2                                            2       2                                    2                                              ---------- + ----------------------- - ----------------------------------------- + log(x*log(x))   2*|---------- + log(x*log(x))| *|-------------------------- + log(x*log(x*log(x)))|   2*|---------- + log(x*log(x))|*|---------- + ----------------------- - ----------------------------------------- + log(x*log(x))|   |-------------------------- + log(x*log(x*log(x)))|*|2 - ---------- + log(x)|   (1 + log(x))*|---------- + log(x*log(x))|*|-------------------------- + log(x*log(x*log(x)))|                          1 + log(x)                   1 + log(x)         log(x)                           \  log(x)                  /                   /1 + log(x)                \ |  log(x)                                         |                            /1 + log(x)                                       \  |  log(x)                                                                       |     /1 + log(x)                                       \ |1 + log(x)                   1 + log(x)         log(x)                           \  log(x)                  /                   /1 + log(x)                \ |  log(x)                                         |                       |   |  log(x)                                                                       | /                 1 + log(x)                         /1 + log(x)                \                \                                /1 + log(x)                                       \ |  log(x)                                                                       |                                                                                                                               2 - ---------- + log(x)   (1 + log(x))*|---------- + log(x*log(x))|                                                |---------- + log(x*log(x))                       |                                                                              |---------- + log(x*log(x))                                                     |                                                                                                                    2 |---------- + log(x*log(x))                                                                                          |                                                                                       |                                                                                              2 - ---------- + log(x)   (1 + log(x))*|---------- + log(x*log(x))|                                                |---------- + log(x*log(x))                       |                                                                              |---------- + log(x*log(x))                                                     |                              |   |---------- + log(x*log(x))                                                                                          |                                                                                                                                                                                                                                                                                                                                                                                   |---------- + log(x*log(x))                                                                                          |                                                                                                                                                                                                                            1 + log(x)                         /1 + log(x)                \                                                /1 + log(x)                                       \                                                                              /1 + log(x)                                                                     \                                                                                                                   /1 + log(x)                                                                                                          \                                                                                                                                                                  /1 + log(x)                                                                                                                                                      \                                                                                                                            /                                                                                                                                                                                    1 + log(x)                         /1 + log(x)                \                                                /1 + log(x)                                       \                                                                              /1 + log(x)                                                                     \                                                                                                                   /1 + log(x)                                                                                                          \                                     \   /1 + log(x)                                                                                                                                                      \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                /1 + log(x)                                                                                                                                                      \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      
                                                                                                                                                                                                                                                                                                                                                               1 + log(x)                         /1 + log(x)                \                                                /1 + log(x)                                       \                                                                              /1 + log(x)                                                                     \                                                                                                                   /1 + log(x)                                                                                                          \                                                                                                                                                               /1 + log(x)                                                                                                                                                      \                                                                                                                                                                                                                                                                                                                                         1 + log(x)                                                                        ---------- + log(x*log(x))                            log(x)                                                                                                                                          log (x)*log(x*log(x))                        log (x)*log (x*log(x))                       log (x)*log(x*log(x))                               log(x)              log(x)                      log(x)*log(x*log(x))                               \  log(x)                  /  \      log(x*log(x))                              /     \  log(x)                  / \  log(x)              log(x)                      log(x)*log(x*log(x))                          /   \      log(x*log(x))                              / \      log(x)           /                \  log(x)                  / \      log(x*log(x))                              /                          ---------- + log(x*log(x))   ---------- + ----------------------- - ----------------------------------------- + log(x*log(x))   |---------- + log(x*log(x))|*|-------------------------- + log(x*log(x*log(x)))|                            |---------- + log(x*log(x))                       |  |-------------------------- + log(x*log(x*log(x)))                              |     |---------- + log(x*log(x))                       | |---------- + log(x*log(x))   ---------- + ----------------------- - ----------------------------------------- + log(x*log(x))   |---------- + log(x*log(x))|*|-------------------------- + log(x*log(x*log(x)))|                       |   |-------------------------- + log(x*log(x*log(x)))                              | |             2 - ---------- + log(x)   (1 + log(x))*|---------- + log(x*log(x))|                |                                |---------- + log(x*log(x))                       | |-------------------------- + log(x*log(x*log(x)))                              |                                 1 + log(x)                                          1 + log(x)                   1 + log(x)         log(x)                           \  log(x)                  /                   /1 + log(x)                \ |  log(x)                                         |                          /1 + log(x)                                       \ |  log(x)                                                                       |                                   /1 + log(x)                                                                     \  |  log(x)                                                                                                            |     /1 + log(x)                                                                     \ |1 + log(x)                                          1 + log(x)                   1 + log(x)         log(x)                           \  log(x)                  /                   /1 + log(x)                \ |  log(x)                                         |                          /1 + log(x)                                       \ |  log(x)                                                                       |                              |   |  log(x)                                                                                                            | /                                              1 + log(x)                         /1 + log(x)                \                                                /1 + log(x)                                       \                       \                                                       /1 + log(x)                                                                     \ |  log(x)                                                                                                            |                                                                                                                                                                                                                        2 - ---------- + log(x)   (1 + log(x))*|---------- + log(x*log(x))|                                                |---------- + log(x*log(x))                       |                                                                              |---------- + log(x*log(x))                                                     |                                                                                                                   |---------- + log(x*log(x))                                                                                          |                                                                                                                                                                2 |---------- + log(x*log(x))                                                                                                                                      |                                                                                                                            |                                                                                                                                                                                2 - ---------- + log(x)   (1 + log(x))*|---------- + log(x*log(x))|                                                |---------- + log(x*log(x))                       |                                                                              |---------- + log(x*log(x))                                                     |                                                                                                                   |---------- + log(x*log(x))                                                                                          |                                     |   |---------- + log(x*log(x))                                                                                                                                      |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                |---------- + log(x*log(x))                                                                                                                                      |                                                                                                                                                                                                                    /                                                                                                                                                                                                                                                                                                           1 + log(x)                         /1 + log(x)                \                                                /1 + log(x)                                       \                                                                              /1 + log(x)                                                                     \                                                                                                                   /1 + log(x)                                                                                                          \                                                                                                                                                               /1 + log(x)                                                                                                                                                      \                                            \                                                                                                                                                                         /1 + log(x)                                                                                                                                                                                                         \   /1 + log(x)                                                                                                                                                                                                         \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   /1 + log(x)                                                                                                                                                                                                         \
                                                                                                                                                                                                                                                                                                                                                           2 - ---------- + log(x)   (1 + log(x))*|---------- + log(x*log(x))|                                                |---------- + log(x*log(x))                       |                                                                              |---------- + log(x*log(x))                                                     |                                                                                                                   |---------- + log(x*log(x))                                                                                          |                                                                                                                                                               |---------- + log(x*log(x))                                                                                                                                      |                                                                                                                                                                                                                  1 + log(x)                                                                                                             ---------- + log(x*log(x))                                                          log(x)                                            -------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------ - ----------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------- + log(x*log(x*log(x)))     log(x)                       log(x)              log(x)                      log(x)*log(x*log(x))                             \  log(x)                  / \      log(x*log(x))                              /                            |  log(x)                                         |  |      log(x*log(x))                                                            |     |  log(x)                                         | |  log(x)                       log(x)              log(x)                      log(x)*log(x*log(x))                             \  log(x)                  / \      log(x*log(x))                              /                       |   |      log(x*log(x))                                                            | |1 + log(x)         log(x)                           \  log(x)                  /                |   /1 + log(x)                \ |  log(x)                                         | |      log(x*log(x))                                                            |                                 ---------- + log(x*log(x))                          ---------- + log(x*log(x))   ---------- + ----------------------- - ----------------------------------------- + log(x*log(x))   |---------- + log(x*log(x))|*|-------------------------- + log(x*log(x*log(x)))|                          |---------- + log(x*log(x))                       | |-------------------------- + log(x*log(x*log(x)))                              |                                   |---------- + log(x*log(x))                                                     |  |-------------------------- + log(x*log(x*log(x)))                                                                   |     |---------- + log(x*log(x))                                                     | |---------- + log(x*log(x))                          ---------- + log(x*log(x))   ---------- + ----------------------- - ----------------------------------------- + log(x*log(x))   |---------- + log(x*log(x))|*|-------------------------- + log(x*log(x*log(x)))|                          |---------- + log(x*log(x))                       | |-------------------------- + log(x*log(x*log(x)))                              |                              |   |-------------------------- + log(x*log(x*log(x)))                                                                   | |                                          2 - ---------- + log(x)   (1 + log(x))*|---------- + log(x*log(x))|                                                |---------- + log(x*log(x))                       |                       |                                                       |---------- + log(x*log(x))                                                     | |-------------------------- + log(x*log(x*log(x)))                                                                   |                                        1 + log(x)                                                                        1 + log(x)                                          1 + log(x)                   1 + log(x)         log(x)                           \  log(x)                  /                   /1 + log(x)                \ |  log(x)                                         |                          /1 + log(x)                                       \ |  log(x)                                                                       |                                 /1 + log(x)                                                                     \ |  log(x)                                                                                                            |                                          /1 + log(x)                                                                                                          \  |  log(x)                                                                                                                                                        |     /1 + log(x)                                                                                                          \ |1 + log(x)                                                                        1 + log(x)                                          1 + log(x)                   1 + log(x)         log(x)                           \  log(x)                  /                   /1 + log(x)                \ |  log(x)                                         |                          /1 + log(x)                                       \ |  log(x)                                                                       |                                 /1 + log(x)                                                                     \ |  log(x)                                                                                                            |                                     |   |  log(x)                                                                                                                                                        | /                                                                                                  1 + log(x)                         /1 + log(x)                \                                                /1 + log(x)                                       \                                                                              /1 + log(x)                                                                     \                              \                                                                                     /1 + log(x)                                                                                                          \ |  log(x)                                                                                                                                                        |                                                                                                                                                                                                                    |                                                                                                                                                                                                                                                                                                       2 - ---------- + log(x)   (1 + log(x))*|---------- + log(x*log(x))|                                                |---------- + log(x*log(x))                       |                                                                              |---------- + log(x*log(x))                                                     |                                                                                                                   |---------- + log(x*log(x))                                                                                          |                                                                                                                                                               |---------- + log(x*log(x))                                                                                                                                      |                                            |                                                                                                                                                                       2 |---------- + log(x*log(x))                                                                                                                                                                                         |   |---------- + log(x*log(x))                                                                                                                                                                                         |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   |---------- + log(x*log(x))                                                                                                                                                                                         |
                                                    1 + log(x)                                                                                                             1 + log(x)                                                                        1 + log(x)                                          1 + log(x)                   1 + log(x)         log(x)                           \  log(x)                  /                   /1 + log(x)                \ |  log(x)                                         |                          /1 + log(x)                                       \ |  log(x)                                                                       |                                 /1 + log(x)                                                                     \ |  log(x)                                                                                                            |                                        /1 + log(x)                                                                                                          \ |  log(x)                                                                                                                                                        |                                               1 + log(x)                                                                                                                                                         ---------- + log(x*log(x))                                                                                               log(x)                                                                          -------------------------- + log(x*log(x*log(x)))         log(x*log(x))                                                                                                                                  log(x*log(x))                                                                                                                                                                     log(x*log(x))                                                                        2              2                                                                                             2                                                                                                   log(x)*log(x*log(x))*log(x*log(x*log(x)))                                                         2                                                                                  -------------------------- + ------------------------------------------------------------------------------------------------ - -------------------------------------------------------------------------------- + log(x*log(x*log(x)))   2*|-------------------------- + log(x*log(x*log(x)))| *|------------------------------------------------- + log(x*log(x*log(x*log(x))))|   2*|-------------------------- + log(x*log(x*log(x)))|*|-------------------------- + ------------------------------------------------------------------------------------------------ - -------------------------------------------------------------------------------- + log(x*log(x*log(x)))|   |------------------------------------------------- + log(x*log(x*log(x*log(x))))|*|---------- + ----------------------- - ----------------------------------------- + log(x*log(x))|   |---------- + log(x*log(x))|*|-------------------------- + log(x*log(x*log(x)))|*|------------------------------------------------- + log(x*log(x*log(x*log(x))))|                                   log(x)                                              log(x)                       log(x)              log(x)                      log(x)*log(x*log(x))                             \  log(x)                  / \      log(x*log(x))                              /                          |  log(x)                                         | |      log(x*log(x))                                                            |                                   |  log(x)                                                                       |  |      log(x*log(x))                                                                                                 |     |  log(x)                                                                       | |  log(x)                                              log(x)                       log(x)              log(x)                      log(x)*log(x*log(x))                             \  log(x)                  / \      log(x*log(x))                              /                          |  log(x)                                         | |      log(x*log(x))                                                            |                              |   |      log(x*log(x))                                                                                                 | |1 + log(x)                   1 + log(x)         log(x)                           \  log(x)                  /                   /1 + log(x)                \ |  log(x)                                         |                       |   /1 + log(x)                                       \ |  log(x)                                                                       | |      log(x*log(x))                                                                                                 |                                        ---------- + log(x*log(x))                                                        ---------- + log(x*log(x))                          ---------- + log(x*log(x))   ---------- + ----------------------- - ----------------------------------------- + log(x*log(x))   |---------- + log(x*log(x))|*|-------------------------- + log(x*log(x*log(x)))|                          |---------- + log(x*log(x))                       | |-------------------------- + log(x*log(x*log(x)))                              |                                 |---------- + log(x*log(x))                                                     | |-------------------------- + log(x*log(x*log(x)))                                                                   |                                          |---------- + log(x*log(x))                                                                                          |  |-------------------------- + log(x*log(x*log(x)))                                                                                                               |     |---------- + log(x*log(x))                                                                                          | |---------- + log(x*log(x))                                                        ---------- + log(x*log(x))                          ---------- + log(x*log(x))   ---------- + ----------------------- - ----------------------------------------- + log(x*log(x))   |---------- + log(x*log(x))|*|-------------------------- + log(x*log(x*log(x)))|                          |---------- + log(x*log(x))                       | |-------------------------- + log(x*log(x*log(x)))                              |                                 |---------- + log(x*log(x))                                                     | |-------------------------- + log(x*log(x*log(x)))                                                                   |                                     |   |-------------------------- + log(x*log(x*log(x)))                                                                                                               | |                                                                                              2 - ---------- + log(x)   (1 + log(x))*|---------- + log(x*log(x))|                                                |---------- + log(x*log(x))                       |                                                                              |---------- + log(x*log(x))                                                     |                              |                                                                                     |---------- + log(x*log(x))                                                                                          | |-------------------------- + log(x*log(x*log(x)))                                                                                                               |                                                 /1 + log(x)                                                                                                                                                      \ |1 + log(x)                                                                                                             1 + log(x)                                                                        1 + log(x)                                          1 + log(x)                   1 + log(x)         log(x)                           \  log(x)                  /                   /1 + log(x)                \ |  log(x)                                         |                          /1 + log(x)                                       \ |  log(x)                                                                       |                                 /1 + log(x)                                                                     \ |  log(x)                                                                                                            |                                        /1 + log(x)                                                                                                          \ |  log(x)                                                                                                                                                        |                                            |     /1 + log(x)                                                                                                                                                      \  |  log(x)                                                                                                                                                                                                           |   |  log(x)                                                                                                                                                                                                           | /                                                                                                                                                                                    1 + log(x)                         /1 + log(x)                \                                                /1 + log(x)                                       \                                                                              /1 + log(x)                                                                     \                                                                                                                   /1 + log(x)                                                                                                          \                                     \                                                                                                                          /1 + log(x)                                                                                                                                                      \ |  log(x)                                                                                                                                                                                                           |
                                                    ---------- + log(x*log(x))                                                                                             ---------- + log(x*log(x))                                                        ---------- + log(x*log(x))                          ---------- + log(x*log(x))   ---------- + ----------------------- - ----------------------------------------- + log(x*log(x))   |---------- + log(x*log(x))|*|-------------------------- + log(x*log(x*log(x)))|                          |---------- + log(x*log(x))                       | |-------------------------- + log(x*log(x*log(x)))                              |                                 |---------- + log(x*log(x))                                                     | |-------------------------- + log(x*log(x*log(x)))                                                                   |                                        |---------- + log(x*log(x))                                                                                          | |-------------------------- + log(x*log(x*log(x)))                                                                                                               |                                               ---------- + log(x*log(x))                                                                                                                                           log(x)                                                                                                               -------------------------- + log(x*log(x*log(x)))                                       log(x*log(x))                                                                                                                                                                                                                                                                                                                                                                                                                                                          log (x*log(x))*log (x*log(x*log(x)))                                                                         log (x*log(x))*log(x*log(x*log(x)))                                                                                                                                                            log(x)*log (x*log(x))*log(x*log(x*log(x)))                                                         log(x*log(x))                                                   log(x*log(x))                                                                    log(x*log(x))*log(x*log(x*log(x)))                                                   \      log(x*log(x))                              /  \               log(x*log(x*log(x)))                                            /     \      log(x*log(x))                              / \      log(x*log(x))                                                   log(x*log(x))                                                                    log(x*log(x))*log(x*log(x*log(x)))                                              /   \               log(x*log(x*log(x)))                                            / \  log(x)              log(x)                      log(x)*log(x*log(x))                          /   \  log(x)                  / \      log(x*log(x))                              / \               log(x*log(x*log(x)))                                            /                                 -------------------------- + log(x*log(x*log(x)))   -------------------------- + ------------------------------------------------------------------------------------------------ - -------------------------------------------------------------------------------- + log(x*log(x*log(x)))   |-------------------------- + log(x*log(x*log(x)))|*|------------------------------------------------- + log(x*log(x*log(x*log(x))))|                                   |-------------------------- + log(x*log(x*log(x)))                              |  |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                     |     |-------------------------- + log(x*log(x*log(x)))                              | |-------------------------- + log(x*log(x*log(x)))   -------------------------- + ------------------------------------------------------------------------------------------------ - -------------------------------------------------------------------------------- + log(x*log(x*log(x)))   |-------------------------- + log(x*log(x*log(x)))|*|------------------------------------------------- + log(x*log(x*log(x*log(x))))|                              |   |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                     | |---------- + log(x*log(x))   ---------- + ----------------------- - ----------------------------------------- + log(x*log(x))   |---------- + log(x*log(x))|*|-------------------------- + log(x*log(x*log(x)))|                       |   |---------- + log(x*log(x))                       | |-------------------------- + log(x*log(x*log(x)))                              | |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                     |                                          log(x)                                                                            log(x)                                              log(x)                       log(x)              log(x)                      log(x)*log(x*log(x))                             \  log(x)                  / \      log(x*log(x))                              /                          |  log(x)                                         | |      log(x*log(x))                                                            |                                 |  log(x)                                                                       | |      log(x*log(x))                                                                                                 |                                          |  log(x)                                                                                                            |  |      log(x*log(x))                                                                                                                                             |     |  log(x)                                                                                                            | |  log(x)                                                                            log(x)                                              log(x)                       log(x)              log(x)                      log(x)*log(x*log(x))                             \  log(x)                  / \      log(x*log(x))                              /                          |  log(x)                                         | |      log(x*log(x))                                                            |                                 |  log(x)                                                                       | |      log(x*log(x))                                                                                                 |                                     |   |      log(x*log(x))                                                                                                                                             | |1 + log(x)                                          1 + log(x)                   1 + log(x)         log(x)                           \  log(x)                  /                   /1 + log(x)                \ |  log(x)                                         |                          /1 + log(x)                                       \ |  log(x)                                                                       |                              |   /1 + log(x)                                                                     \ |  log(x)                                                                                                            | |      log(x*log(x))                                                                                                                                             |                                                 |---------- + log(x*log(x))                                                                                                                                      | |---------- + log(x*log(x))                                                                                             ---------- + log(x*log(x))                                                        ---------- + log(x*log(x))                          ---------- + log(x*log(x))   ---------- + ----------------------- - ----------------------------------------- + log(x*log(x))   |---------- + log(x*log(x))|*|-------------------------- + log(x*log(x*log(x)))|                          |---------- + log(x*log(x))                       | |-------------------------- + log(x*log(x*log(x)))                              |                                 |---------- + log(x*log(x))                                                     | |-------------------------- + log(x*log(x*log(x)))                                                                   |                                        |---------- + log(x*log(x))                                                                                          | |-------------------------- + log(x*log(x*log(x)))                                                                                                               |                                            |     |---------- + log(x*log(x))                                                                                                                                      |  |-------------------------- + log(x*log(x*log(x)))                                                                                                                                                                  |   |-------------------------- + log(x*log(x*log(x)))                                                                                                                                                                  | |                                                                                                                                                                                2 - ---------- + log(x)   (1 + log(x))*|---------- + log(x*log(x))|                                                |---------- + log(x*log(x))                       |                                                                              |---------- + log(x*log(x))                                                     |                                                                                                                   |---------- + log(x*log(x))                                                                                          |                                     |                                                                                                                          |---------- + log(x*log(x))                                                                                                                                      | |-------------------------- + log(x*log(x*log(x)))                                                                                                                                                                  |
                                                      log(x)                                                                                                                 log(x)                                                                            log(x)                                              log(x)                       log(x)              log(x)                      log(x)*log(x*log(x))                             \  log(x)                  / \      log(x*log(x))                              /                          |  log(x)                                         | |      log(x*log(x))                                                            |                                 |  log(x)                                                                       | |      log(x*log(x))                                                                                                 |                                        |  log(x)                                                                                                            | |      log(x*log(x))                                                                                                                                             |                                                 log(x)                                                                                                                                                           -------------------------- + log(x*log(x*log(x)))                                                                            log(x*log(x))                                                               ------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------------------------------ + log(x*log(x*log(x*log(x))))         log(x*log(x))                                       log(x*log(x))                                                   log(x*log(x))                                                                    log(x*log(x))*log(x*log(x*log(x)))                                                 \      log(x*log(x))                              / \               log(x*log(x*log(x)))                                            /                                   |      log(x*log(x))                                                            |  |               log(x*log(x*log(x)))                                                                                 |     |      log(x*log(x))                                                            | |      log(x*log(x))                                       log(x*log(x))                                                   log(x*log(x))                                                                    log(x*log(x))*log(x*log(x*log(x)))                                                 \      log(x*log(x))                              / \               log(x*log(x*log(x)))                                            /                              |   |               log(x*log(x*log(x)))                                                                                 | |  log(x)                       log(x)              log(x)                      log(x)*log(x*log(x))                             \  log(x)                  / \      log(x*log(x))                              /                       |   |  log(x)                                         | |      log(x*log(x))                                                            | |               log(x*log(x*log(x)))                                                                                 |                                        -------------------------- + log(x*log(x*log(x)))                                 -------------------------- + log(x*log(x*log(x)))   -------------------------- + ------------------------------------------------------------------------------------------------ - -------------------------------------------------------------------------------- + log(x*log(x*log(x)))   |-------------------------- + log(x*log(x*log(x)))|*|------------------------------------------------- + log(x*log(x*log(x*log(x))))|                                 |-------------------------- + log(x*log(x*log(x)))                              | |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                     |                                          |-------------------------- + log(x*log(x*log(x)))                                                                   |  |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                                                                 |     |-------------------------- + log(x*log(x*log(x)))                                                                   | |-------------------------- + log(x*log(x*log(x)))                                 -------------------------- + log(x*log(x*log(x)))   -------------------------- + ------------------------------------------------------------------------------------------------ - -------------------------------------------------------------------------------- + log(x*log(x*log(x)))   |-------------------------- + log(x*log(x*log(x)))|*|------------------------------------------------- + log(x*log(x*log(x*log(x))))|                                 |-------------------------- + log(x*log(x*log(x)))                              | |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                     |                                     |   |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                                                                 | |---------- + log(x*log(x))                          ---------- + log(x*log(x))   ---------- + ----------------------- - ----------------------------------------- + log(x*log(x))   |---------- + log(x*log(x))|*|-------------------------- + log(x*log(x*log(x)))|                          |---------- + log(x*log(x))                       | |-------------------------- + log(x*log(x*log(x)))                              |                              |   |---------- + log(x*log(x))                                                     | |-------------------------- + log(x*log(x*log(x)))                                                                   | |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                                                                 |                                                 |  log(x)                                                                                                                                                        | |  log(x)                                                                                                                 log(x)                                                                            log(x)                                              log(x)                       log(x)              log(x)                      log(x)*log(x*log(x))                             \  log(x)                  / \      log(x*log(x))                              /                          |  log(x)                                         | |      log(x*log(x))                                                            |                                 |  log(x)                                                                       | |      log(x*log(x))                                                                                                 |                                        |  log(x)                                                                                                            | |      log(x*log(x))                                                                                                                                             |                                            |     |  log(x)                                                                                                                                                        |  |      log(x*log(x))                                                                                                                                                                                                |   |      log(x*log(x))                                                                                                                                                                                                | |1 + log(x)                                                                        1 + log(x)                                          1 + log(x)                   1 + log(x)         log(x)                           \  log(x)                  /                   /1 + log(x)                \ |  log(x)                                         |                          /1 + log(x)                                       \ |  log(x)                                                                       |                                 /1 + log(x)                                                                     \ |  log(x)                                                                                                            |                                     |   /1 + log(x)                                                                                                          \ |  log(x)                                                                                                                                                        | |      log(x*log(x))                                                                                                                                                                                                |
                                                    -------------------------- + log(x*log(x*log(x)))                                                                      -------------------------- + log(x*log(x*log(x)))                                 -------------------------- + log(x*log(x*log(x)))   -------------------------- + ------------------------------------------------------------------------------------------------ - -------------------------------------------------------------------------------- + log(x*log(x*log(x)))   |-------------------------- + log(x*log(x*log(x)))|*|------------------------------------------------- + log(x*log(x*log(x*log(x))))|                                 |-------------------------- + log(x*log(x*log(x)))                              | |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                     |                                        |-------------------------- + log(x*log(x*log(x)))                                                                   | |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                                                                 |                                               -------------------------- + log(x*log(x*log(x)))                                                                                                                        log(x*log(x))                                                                                                    ------------------------------------------------- + log(x*log(x*log(x*log(x))))                  log(x*log(x*log(x)))                                                                                                                                                                                                                                                                                                                                                                                                                       log(x*log(x*log(x)))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  log(x*log(x*log(x)))                                                                                                                                                          2                     2                                                                                                                                                                                                2                                                                                                                                                                                                                                  log(x*log(x))*log(x*log(x*log(x)))*log(x*log(x*log(x*log(x))))                                                                                                                                2                                                                                                                                ------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x))))   2*|------------------------------------------------- + log(x*log(x*log(x*log(x))))| *|------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))|   2*|------------------------------------------------- + log(x*log(x*log(x*log(x))))|*|------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x))))|   |------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))|*|-------------------------- + ------------------------------------------------------------------------------------------------ - -------------------------------------------------------------------------------- + log(x*log(x*log(x)))|   |-------------------------- + log(x*log(x*log(x)))|*|------------------------------------------------- + log(x*log(x*log(x*log(x))))|*|------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))|                                              log(x*log(x))                                                                     log(x*log(x))                                       log(x*log(x))                                                   log(x*log(x))                                                                    log(x*log(x))*log(x*log(x*log(x)))                                                 \      log(x*log(x))                              / \               log(x*log(x*log(x)))                                            /                                 |      log(x*log(x))                                                            | |               log(x*log(x*log(x)))                                                                                 |                                          |      log(x*log(x))                                                                                                 |  |               log(x*log(x*log(x)))                                                                                                                             |     |      log(x*log(x))                                                                                                 | |      log(x*log(x))                                                                     log(x*log(x))                                       log(x*log(x))                                                   log(x*log(x))                                                                    log(x*log(x))*log(x*log(x*log(x)))                                                 \      log(x*log(x))                              / \               log(x*log(x*log(x)))                                            /                                 |      log(x*log(x))                                                            | |               log(x*log(x*log(x)))                                                                                 |                                     |   |               log(x*log(x*log(x)))                                                                                                                             | |  log(x)                                              log(x)                       log(x)              log(x)                      log(x)*log(x*log(x))                             \  log(x)                  / \      log(x*log(x))                              /                          |  log(x)                                         | |      log(x*log(x))                                                            |                              |   |  log(x)                                                                       | |      log(x*log(x))                                                                                                 | |               log(x*log(x*log(x)))                                                                                                                             |                                                 |-------------------------- + log(x*log(x*log(x)))                                                                                                               | |-------------------------- + log(x*log(x*log(x)))                                                                      -------------------------- + log(x*log(x*log(x)))                                 -------------------------- + log(x*log(x*log(x)))   -------------------------- + ------------------------------------------------------------------------------------------------ - -------------------------------------------------------------------------------- + log(x*log(x*log(x)))   |-------------------------- + log(x*log(x*log(x)))|*|------------------------------------------------- + log(x*log(x*log(x*log(x))))|                                 |-------------------------- + log(x*log(x*log(x)))                              | |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                     |                                        |-------------------------- + log(x*log(x*log(x)))                                                                   | |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                                                                 |                                            |     |-------------------------- + log(x*log(x*log(x)))                                                                                                               |  |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                                                                                                                    |   |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                                                                                                                    | |---------- + log(x*log(x))                                                        ---------- + log(x*log(x))                          ---------- + log(x*log(x))   ---------- + ----------------------- - ----------------------------------------- + log(x*log(x))   |---------- + log(x*log(x))|*|-------------------------- + log(x*log(x*log(x)))|                          |---------- + log(x*log(x))                       | |-------------------------- + log(x*log(x*log(x)))                              |                                 |---------- + log(x*log(x))                                                     | |-------------------------- + log(x*log(x*log(x)))                                                                   |                                     |   |---------- + log(x*log(x))                                                                                          | |-------------------------- + log(x*log(x*log(x)))                                                                                                               | |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                                                                                                                    |
                                                          log(x*log(x))                                                                                                          log(x*log(x))                                                                     log(x*log(x))                                       log(x*log(x))                                                   log(x*log(x))                                                                    log(x*log(x))*log(x*log(x*log(x)))                                                 \      log(x*log(x))                              / \               log(x*log(x*log(x)))                                            /                                 |      log(x*log(x))                                                            | |               log(x*log(x*log(x)))                                                                                 |                                        |      log(x*log(x))                                                                                                 | |               log(x*log(x*log(x)))                                                                                                                             |                                                     log(x*log(x))                                                                                                                                                ------------------------------------------------- + log(x*log(x*log(x*log(x))))                                                       log(x*log(x*log(x)))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          log (x*log(x*log(x)))*log (x*log(x*log(x*log(x))))                                                                                                                                                                     log (x*log(x*log(x)))*log(x*log(x*log(x*log(x))))                                                                                                                                                                                                                                                                                                                                                                  log(x*log(x))*log (x*log(x*log(x)))*log(x*log(x*log(x*log(x))))                                                                                                  log(x*log(x*log(x)))                                                                                                                           log(x*log(x*log(x)))                                                                                                                                                       log(x*log(x*log(x)))*log(x*log(x*log(x*log(x))))                                                                             \               log(x*log(x*log(x)))                                            /  \                          log(x*log(x*log(x*log(x))))                                                               /     \               log(x*log(x*log(x)))                                            / \               log(x*log(x*log(x)))                                                                                                                           log(x*log(x*log(x)))                                                                                                                                                       log(x*log(x*log(x)))*log(x*log(x*log(x*log(x))))                                                                        /   \                          log(x*log(x*log(x*log(x))))                                                               / \      log(x*log(x))                                                   log(x*log(x))                                                                    log(x*log(x))*log(x*log(x*log(x)))                                              /   \      log(x*log(x))                              / \               log(x*log(x*log(x)))                                            / \                          log(x*log(x*log(x*log(x))))                                                               /                                        ------------------------------------------------- + log(x*log(x*log(x*log(x))))   ------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x))))   |------------------------------------------------- + log(x*log(x*log(x*log(x))))|*|------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))|                                          |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                     |  |------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))                                            |     |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                     | |------------------------------------------------- + log(x*log(x*log(x*log(x))))   ------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x))))   |------------------------------------------------- + log(x*log(x*log(x*log(x))))|*|------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))|                                     |   |------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))                                            | |-------------------------- + log(x*log(x*log(x)))   -------------------------- + ------------------------------------------------------------------------------------------------ - -------------------------------------------------------------------------------- + log(x*log(x*log(x)))   |-------------------------- + log(x*log(x*log(x)))|*|------------------------------------------------- + log(x*log(x*log(x*log(x))))|                              |   |-------------------------- + log(x*log(x*log(x)))                              | |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                     | |------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))                                            |                                                 |      log(x*log(x))                                                                                                                                             | |      log(x*log(x))                                                                                                          log(x*log(x))                                                                     log(x*log(x))                                       log(x*log(x))                                                   log(x*log(x))                                                                    log(x*log(x))*log(x*log(x*log(x)))                                                 \      log(x*log(x))                              / \               log(x*log(x*log(x)))                                            /                                 |      log(x*log(x))                                                            | |               log(x*log(x*log(x)))                                                                                 |                                        |      log(x*log(x))                                                                                                 | |               log(x*log(x*log(x)))                                                                                                                             |                                            |     |      log(x*log(x))                                                                                                                                             |  |               log(x*log(x*log(x)))                                                                                                                                                                                |   |               log(x*log(x*log(x)))                                                                                                                                                                                | |  log(x)                                                                            log(x)                                              log(x)                       log(x)              log(x)                      log(x)*log(x*log(x))                             \  log(x)                  / \      log(x*log(x))                              /                          |  log(x)                                         | |      log(x*log(x))                                                            |                                 |  log(x)                                                                       | |      log(x*log(x))                                                                                                 |                                     |   |  log(x)                                                                                                            | |      log(x*log(x))                                                                                                                                             | |               log(x*log(x*log(x)))                                                                                                                                                                                |
                                                    ------------------------------------------------- + log(x*log(x*log(x*log(x))))                                        ------------------------------------------------- + log(x*log(x*log(x*log(x))))   ------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x))))   |------------------------------------------------- + log(x*log(x*log(x*log(x))))|*|------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))|                                        |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                     | |------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))                                            |                                               ------------------------------------------------- + log(x*log(x*log(x*log(x))))                                                                                                   log(x*log(x*log(x)))                                                                                    ------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + log(x*log(x*log(x*log(x*log(x)))))                  log(x*log(x*log(x)))                                                              log(x*log(x*log(x)))                                                                                                                           log(x*log(x*log(x)))                                                                                                                                                       log(x*log(x*log(x)))*log(x*log(x*log(x*log(x))))                                                                           \               log(x*log(x*log(x)))                                            / \                          log(x*log(x*log(x*log(x))))                                                               /                                          |               log(x*log(x*log(x)))                                                                                 |  |                          log(x*log(x*log(x*log(x))))                                                                                                           |     |               log(x*log(x*log(x)))                                                                                 | |               log(x*log(x*log(x)))                                                              log(x*log(x*log(x)))                                                                                                                           log(x*log(x*log(x)))                                                                                                                                                       log(x*log(x*log(x)))*log(x*log(x*log(x*log(x))))                                                                           \               log(x*log(x*log(x)))                                            / \                          log(x*log(x*log(x*log(x))))                                                               /                                     |   |                          log(x*log(x*log(x*log(x))))                                                                                                           | |      log(x*log(x))                                       log(x*log(x))                                                   log(x*log(x))                                                                    log(x*log(x))*log(x*log(x*log(x)))                                                 \      log(x*log(x))                              / \               log(x*log(x*log(x)))                                            /                              |   |      log(x*log(x))                                                            | |               log(x*log(x*log(x)))                                                                                 | |                          log(x*log(x*log(x*log(x))))                                                                                                           |                                                 |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                                                                 | |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                        ------------------------------------------------- + log(x*log(x*log(x*log(x))))   ------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x))))   |------------------------------------------------- + log(x*log(x*log(x*log(x))))|*|------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))|                                        |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                     | |------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))                                            |                                            |     |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                                                                 |  |------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))                                                                                               |   |------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))                                                                                               | |-------------------------- + log(x*log(x*log(x)))                                 -------------------------- + log(x*log(x*log(x)))   -------------------------- + ------------------------------------------------------------------------------------------------ - -------------------------------------------------------------------------------- + log(x*log(x*log(x)))   |-------------------------- + log(x*log(x*log(x)))|*|------------------------------------------------- + log(x*log(x*log(x*log(x))))|                                 |-------------------------- + log(x*log(x*log(x)))                              | |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                     |                                     |   |-------------------------- + log(x*log(x*log(x)))                                                                   | |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                                                                 | |------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))                                                                                               |
                                                                   log(x*log(x*log(x)))                                                                                                   log(x*log(x*log(x)))                                                              log(x*log(x*log(x)))                                                                                                                           log(x*log(x*log(x)))                                                                                                                                                       log(x*log(x*log(x)))*log(x*log(x*log(x*log(x))))                                                                           \               log(x*log(x*log(x)))                                            / \                          log(x*log(x*log(x*log(x))))                                                               /                                        |               log(x*log(x*log(x)))                                                                                 | |                          log(x*log(x*log(x*log(x))))                                                                                                           |                                                              log(x*log(x*log(x)))                                                                                                                                ------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))                             log(x*log(x*log(x*log(x))))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 log(x*log(x*log(x*log(x))))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           log(x*log(x*log(x*log(x))))                                                                                                                                                                                                                                                                                               2                            2                                                                                                                                                                                                                                                                                                                                                      2                                                                                                                                                                                                                                                                                                                                                                                                                                                log(x*log(x*log(x)))*log(x*log(x*log(x*log(x))))*log(x*log(x*log(x*log(x*log(x)))))                                                                                                                                                                                                                                                      2                                                                                                                                                                                       ------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))   2*|------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))| *|-------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x))))))|   2*|------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))|*|------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))|   |-------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x))))))|*|------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x))))|   |------------------------------------------------- + log(x*log(x*log(x*log(x))))|*|------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))|*|-------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x))))))|                                                 |               log(x*log(x*log(x)))                                                                                                                             | |               log(x*log(x*log(x)))                                                                                                   log(x*log(x*log(x)))                                                              log(x*log(x*log(x)))                                                                                                                           log(x*log(x*log(x)))                                                                                                                                                       log(x*log(x*log(x)))*log(x*log(x*log(x*log(x))))                                                                           \               log(x*log(x*log(x)))                                            / \                          log(x*log(x*log(x*log(x))))                                                               /                                        |               log(x*log(x*log(x)))                                                                                 | |                          log(x*log(x*log(x*log(x))))                                                                                                           |                                            |     |               log(x*log(x*log(x)))                                                                                                                             |  |                          log(x*log(x*log(x*log(x))))                                                                                                                                                              |   |                          log(x*log(x*log(x*log(x))))                                                                                                                                                              | |      log(x*log(x))                                                                     log(x*log(x))                                       log(x*log(x))                                                   log(x*log(x))                                                                    log(x*log(x))*log(x*log(x*log(x)))                                                 \      log(x*log(x))                              / \               log(x*log(x*log(x)))                                            /                                 |      log(x*log(x))                                                            | |               log(x*log(x*log(x)))                                                                                 |                                     |   |      log(x*log(x))                                                                                                 | |               log(x*log(x*log(x)))                                                                                                                             | |                          log(x*log(x*log(x*log(x))))                                                                                                                                                              |
                                                    ------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))   ------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))   |------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))|*|-------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x))))))|                                               ------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))                                                                         log(x*log(x*log(x*log(x))))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     log (x*log(x*log(x*log(x))))*log (x*log(x*log(x*log(x*log(x)))))                                                                                                                                                                                                                                                                                                                    log (x*log(x*log(x*log(x))))*log(x*log(x*log(x*log(x*log(x)))))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      log(x*log(x*log(x)))*log (x*log(x*log(x*log(x))))*log(x*log(x*log(x*log(x*log(x)))))                                                                                                                                                      log(x*log(x*log(x*log(x))))                                                                                                                                                                                                                                                log(x*log(x*log(x*log(x))))                                                                                                                                                                                                                                                                                           log(x*log(x*log(x*log(x))))*log(x*log(x*log(x*log(x*log(x)))))                                                                                                               \                          log(x*log(x*log(x*log(x))))                                                               /  \                                         log(x*log(x*log(x*log(x*log(x)))))                                                                                     /     \                          log(x*log(x*log(x*log(x))))                                                               / \                          log(x*log(x*log(x*log(x))))                                                                                                                                                                                                                                                log(x*log(x*log(x*log(x))))                                                                                                                                                                                                                                                                                           log(x*log(x*log(x*log(x))))*log(x*log(x*log(x*log(x*log(x)))))                                                                                                          /   \                                         log(x*log(x*log(x*log(x*log(x)))))                                                                                     / \               log(x*log(x*log(x)))                                                                                                                           log(x*log(x*log(x)))                                                                                                                                                       log(x*log(x*log(x)))*log(x*log(x*log(x*log(x))))                                                                        /   \               log(x*log(x*log(x)))                                            / \                          log(x*log(x*log(x*log(x))))                                                               / \                                         log(x*log(x*log(x*log(x*log(x)))))                                                                                     /                                                 |------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))                                            | |------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))   ------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))   |------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))|*|-------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x))))))|                                            |     |------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))                                            |  |-------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x))))))                                                   |   |-------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x))))))                                                   | |------------------------------------------------- + log(x*log(x*log(x*log(x))))   ------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x))))   |------------------------------------------------- + log(x*log(x*log(x*log(x))))|*|------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))|                                     |   |------------------------------------------------- + log(x*log(x*log(x*log(x))))                                     | |------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))                                            | |-------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x))))))                                                   |
                                                                              log(x*log(x*log(x*log(x))))                                                                                            log(x*log(x*log(x*log(x))))                                                                                                                                                                                                                                                log(x*log(x*log(x*log(x))))                                                                                                                                                                                                                                                                                           log(x*log(x*log(x*log(x))))*log(x*log(x*log(x*log(x*log(x)))))                                                                                                             \                          log(x*log(x*log(x*log(x))))                                                               / \                                         log(x*log(x*log(x*log(x*log(x)))))                                                                                     /                                                                         log(x*log(x*log(x*log(x))))                                                                                                              -------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x))))))     |                          log(x*log(x*log(x*log(x))))                                                                                                           | |                          log(x*log(x*log(x*log(x))))                                                                                            log(x*log(x*log(x*log(x))))                                                                                                                                                                                                                                                log(x*log(x*log(x*log(x))))                                                                                                                                                                                                                                                                                           log(x*log(x*log(x*log(x))))*log(x*log(x*log(x*log(x*log(x)))))                                                                                                             \                          log(x*log(x*log(x*log(x))))                                                               / \                                         log(x*log(x*log(x*log(x*log(x)))))                                                                                     /                                            |     |                          log(x*log(x*log(x*log(x))))                                                                                                           |  |                                         log(x*log(x*log(x*log(x*log(x)))))                                                                                                                                        |   |                                         log(x*log(x*log(x*log(x*log(x)))))                                                                                                                                        | |               log(x*log(x*log(x)))                                                              log(x*log(x*log(x)))                                                                                                                           log(x*log(x*log(x)))                                                                                                                                                       log(x*log(x*log(x)))*log(x*log(x*log(x*log(x))))                                                                           \               log(x*log(x*log(x)))                                            / \                          log(x*log(x*log(x*log(x))))                                                               /                                     |   |               log(x*log(x*log(x)))                                                                                 | |                          log(x*log(x*log(x*log(x))))                                                                                                           | |                                         log(x*log(x*log(x*log(x*log(x)))))                                                                                                                                        |
                                                    -------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x))))))   -------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x))))))                                            log(x*log(x*log(x*log(x*log(x)))))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                log(x*log(x*log(x*log(x*log(x)))))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       log(x*log(x*log(x*log(x*log(x)))))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             2                                   2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    log(x*log(x*log(x*log(x))))*log(x*log(x*log(x*log(x*log(x)))))*log(x*log(x*log(x*log(x*log(x*log(x))))))                                                                                                                                                                                                                                                                                                                                                                                                                                  2                                                                                                                                                                                                                                                         2*|-------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x))))))|*|-------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x))))))|   2*|-------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x))))))| *|---------------------------------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x*log(x)))))))|   |---------------------------------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x*log(x)))))))|*|------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))|   |------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x)))))|*|-------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x))))))|*|---------------------------------------------------------------------------------------------------------------------------------------------------------------- + log(x*log(x*log(x*log(x*log(x*log(x*log(x)))))))|
                                                                                             log(x*log(x*log(x*log(x*log(x)))))                                                                                                                                                                                                                                                                                                                                                                                                                             log(x*log(x*log(x*log(x*log(x)))))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          log(x*log(x*log(x*log(x*log(x)))))*log(x*log(x*log(x*log(x*log(x*log(x))))))                                                                                                                                                                                              log(x*log(x*log(x*log(x*log(x)))))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        log (x*log(x*log(x*log(x*log(x)))))*log (x*log(x*log(x*log(x*log(x*log(x))))))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  log (x*log(x*log(x*log(x*log(x)))))*log(x*log(x*log(x*log(x*log(x*log(x))))))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      log(x*log(x*log(x*log(x))))*log (x*log(x*log(x*log(x*log(x)))))*log(x*log(x*log(x*log(x*log(x*log(x))))))                                                                                                                                                                                  \                                         log(x*log(x*log(x*log(x*log(x)))))                                                                                     / \                                         log(x*log(x*log(x*log(x*log(x)))))                                                                                                                                                                                                                                                                                                                                                                                                                             log(x*log(x*log(x*log(x*log(x)))))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          log(x*log(x*log(x*log(x*log(x)))))*log(x*log(x*log(x*log(x*log(x*log(x))))))                                                                                                                                                  /     \                                         log(x*log(x*log(x*log(x*log(x)))))                                                                                     /  \                                                           log(x*log(x*log(x*log(x*log(x*log(x))))))                                                                                                               /   \                                                           log(x*log(x*log(x*log(x*log(x*log(x))))))                                                                                                               / \                          log(x*log(x*log(x*log(x))))                                                                                                                                                                                                                                                log(x*log(x*log(x*log(x))))                                                                                                                                                                                                                                                                                           log(x*log(x*log(x*log(x))))*log(x*log(x*log(x*log(x*log(x)))))                                                                                                          /   \                          log(x*log(x*log(x*log(x))))                                                               / \                                         log(x*log(x*log(x*log(x*log(x)))))                                                                                     / \                                                           log(x*log(x*log(x*log(x*log(x*log(x))))))                                                                                                               /
-log(x*log(x*log(x*log(x*log(x*log(x*log(x))))))) + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - ---------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                log(x*log(x*log(x*log(x*log(x*log(x))))))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           log(x*log(x*log(x*log(x*log(x*log(x))))))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       log(x*log(x*log(x*log(x*log(x)))))*log(x*log(x*log(x*log(x*log(x*log(x))))))*log(x*log(x*log(x*log(x*log(x*log(x*log(x)))))))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 2                                                                                                                                                                                                                                                                               
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               log (x*log(x*log(x*log(x*log(x*log(x))))))*log(x*log(x*log(x*log(x*log(x*log(x*log(x)))))))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          log (x*log(x*log(x*log(x*log(x*log(x))))))*log (x*log(x*log(x*log(x*log(x*log(x*log(x)))))))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         log(x*log(x*log(x*log(x*log(x)))))*log (x*log(x*log(x*log(x*log(x*log(x))))))*log(x*log(x*log(x*log(x*log(x*log(x*log(x)))))))                                                                                                                                                                                        
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------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$$\frac{\frac{2 \left(\frac{\frac{\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}\right)^{2}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}^{2} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)} \right)}^{2}} + \frac{\left(\frac{\frac{\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}^{2} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)} \right)}} - \frac{\left(\frac{\frac{\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)} \right)}\right) \left(- \frac{\left(\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \frac{- \frac{\left(\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \frac{- \frac{\left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right) \left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right)}{\log{\left(x \log{\left(x \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \frac{- \frac{\left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right) \left(\log{\left(x \right)} + 1\right)}{\log{\left(x \right)} \log{\left(x \log{\left(x \right)} \right)}} + \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \frac{- \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \right)} + 2}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)} \right)}} - \frac{2 \left(\frac{\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}\right) \left(- \frac{\left(\frac{\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}} + \frac{\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \frac{- \frac{\left(\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \frac{- \frac{\left(\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \frac{- \frac{\left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right) \left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right)}{\log{\left(x \log{\left(x \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \frac{- \frac{\left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right) \left(\log{\left(x \right)} + 1\right)}{\log{\left(x \right)} \log{\left(x \log{\left(x \right)} \right)}} + \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \frac{- \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \right)} + 2}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}^{2} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)} \right)}} - \frac{\frac{\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}} + \frac{- \frac{\left(\frac{\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}} + \frac{\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \frac{- \frac{\left(\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \frac{- \frac{\left(\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \frac{- \frac{\left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right) \left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right)}{\log{\left(x \log{\left(x \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \frac{- \frac{\left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right) \left(\log{\left(x \right)} + 1\right)}{\log{\left(x \right)} \log{\left(x \log{\left(x \right)} \right)}} + \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \frac{- \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \right)} + 2}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}} - \frac{- \frac{2 \left(\frac{\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}\right)^{2}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}^{2} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}^{2}} - \frac{\left(\frac{\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}^{2} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}} + \frac{\left(\frac{\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}\right) \left(- \frac{\left(\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \frac{- \frac{\left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right) \left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right)}{\log{\left(x \log{\left(x \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \frac{- \frac{\left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right) \left(\log{\left(x \right)} + 1\right)}{\log{\left(x \right)} \log{\left(x \log{\left(x \right)} \right)}} + \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \frac{- \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \right)} + 2}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}} + \frac{2 \left(\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}\right) \left(- \frac{\left(\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \frac{- \frac{\left(\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \frac{- \frac{\left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right) \left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right)}{\log{\left(x \log{\left(x \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \frac{- \frac{\left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right) \left(\log{\left(x \right)} + 1\right)}{\log{\left(x \right)} \log{\left(x \log{\left(x \right)} \right)}} + \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \frac{- \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \right)} + 2}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}^{2} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}} + \frac{\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} - \frac{- \frac{\left(\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \frac{- \frac{\left(\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \frac{- \frac{\left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right) \left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right)}{\log{\left(x \log{\left(x \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \frac{- \frac{\left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right) \left(\log{\left(x \right)} + 1\right)}{\log{\left(x \right)} \log{\left(x \log{\left(x \right)} \right)}} + \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \frac{- \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \right)} + 2}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \frac{- \frac{2 \left(\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}\right)^{2}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}^{2} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}^{2}} - \frac{\left(\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}^{2} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \frac{\left(\frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}\right) \left(- \frac{\left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right) \left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right)}{\log{\left(x \log{\left(x \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \frac{- \frac{\left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right) \left(\log{\left(x \right)} + 1\right)}{\log{\left(x \right)} \log{\left(x \log{\left(x \right)} \right)}} + \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \frac{- \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \right)} + 2}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \frac{2 \left(\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}\right) \left(- \frac{\left(\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \frac{- \frac{\left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right) \left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right)}{\log{\left(x \log{\left(x \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \frac{- \frac{\left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right) \left(\log{\left(x \right)} + 1\right)}{\log{\left(x \right)} \log{\left(x \log{\left(x \right)} \right)}} + \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \frac{- \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \right)} + 2}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}^{2} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \frac{\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} - \frac{- \frac{\left(\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \frac{- \frac{\left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right) \left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right)}{\log{\left(x \log{\left(x \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \frac{- \frac{\left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right) \left(\log{\left(x \right)} + 1\right)}{\log{\left(x \right)} \log{\left(x \log{\left(x \right)} \right)}} + \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \frac{- \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \right)} + 2}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \frac{- \frac{2 \left(\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right)^{2}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}^{2} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}^{2}} - \frac{\left(\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}\right) \left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right) \left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right)}{\log{\left(x \log{\left(x \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}^{2} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \frac{\left(\frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}\right) \left(- \frac{\left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right) \left(\log{\left(x \right)} + 1\right)}{\log{\left(x \right)} \log{\left(x \log{\left(x \right)} \right)}} + \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \frac{- \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \right)} + 2}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right)}{\log{\left(x \log{\left(x \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \frac{2 \left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right) \left(- \frac{\left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right) \left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right)}{\log{\left(x \log{\left(x \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \frac{- \frac{\left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right) \left(\log{\left(x \right)} + 1\right)}{\log{\left(x \right)} \log{\left(x \log{\left(x \right)} \right)}} + \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \frac{- \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \right)} + 2}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right)}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}^{2} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \frac{\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} - \frac{- \frac{\left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right) \left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right)}{\log{\left(x \log{\left(x \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \frac{- \frac{\left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right) \left(\log{\left(x \right)} + 1\right)}{\log{\left(x \right)} \log{\left(x \log{\left(x \right)} \right)}} + \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \frac{- \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \right)} + 2}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \frac{- \frac{2 \left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right) \left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right)^{2}}{\log{\left(x \log{\left(x \right)} \right)}^{2} \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}^{2}} - \frac{\left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right) \left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right) \left(\log{\left(x \right)} + 1\right)}{\log{\left(x \right)} \log{\left(x \log{\left(x \right)} \right)}^{2} \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \frac{\left(\frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}\right) \left(- \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \right)} + 2\right)}{\log{\left(x \right)} \log{\left(x \log{\left(x \right)} \right)} \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \frac{2 \left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right) \left(- \frac{\left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right) \left(\log{\left(x \right)} + 1\right)}{\log{\left(x \right)} \log{\left(x \log{\left(x \right)} \right)}} + \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \frac{- \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \right)} + 2}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right)}{\log{\left(x \log{\left(x \right)} \right)}^{2} \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} - \frac{- \frac{\left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right) \left(\log{\left(x \right)} + 1\right)}{\log{\left(x \right)} \log{\left(x \log{\left(x \right)} \right)}} + \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \frac{- \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \right)} + 2}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \frac{- \frac{2 \left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right) \left(\log{\left(x \right)} + 1\right)^{2}}{\log{\left(x \right)}^{2} \log{\left(x \log{\left(x \right)} \right)}^{2}} - \frac{\left(\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}\right) \left(\log{\left(x \right)} + 1\right)}{\log{\left(x \right)}^{2} \log{\left(x \log{\left(x \right)} \right)}} + \frac{\frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \right)} \log{\left(x \log{\left(x \right)} \right)}} + \frac{2 \left(\log{\left(x \right)} + 1\right) \left(- \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \right)} + 2\right)}{\log{\left(x \right)}^{2} \log{\left(x \log{\left(x \right)} \right)}} + \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} - \frac{- \frac{\log{\left(x \right)} + 1}{\log{\left(x \right)}} + \log{\left(x \right)} + 2}{\log{\left(x \right)}} + \frac{- \frac{2 \left(\log{\left(x \right)} + 1\right)}{\log{\left(x \right)}^{2}} + \log{\left(x \right)} + 1 + \frac{2}{\log{\left(x \right)}}}{\log{\left(x \right)}} + \log{\left(x \log{\left(x \right)} \right)}}{\log{\left(x \log{\left(x \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)}} + \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}}{\log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)}} - \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)} \right)}}{x^{2} \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \log{\left(x \right)} \right)} \right)} \right)} \right)} \right)} \right)}}$$
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Gráfico
Derivada de xln(xln(xln(xln(xln(xln(xln(xlnx)))))))
    © Sr Examen – Калькулятор