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Derivada de:
Derivada de x^12
Derivada de (x+3)/(x-2)
Derivada de e^3
Derivada de x!
Expresiones idénticas
x*tanh(x/(x*sin(x^(exp(sinh(x))))))/(log(x^exp(x))+log(cos(x)/sin(x)))
x multiplicar por tangente de gente hiperbólica de (x dividir por (x multiplicar por seno de (x en el grado ( exponente de ( seno hiperbólico de (x)))))) dividir por ( logaritmo de (x en el grado exponente de (x)) más logaritmo de ( coseno de (x) dividir por seno de (x)))
x*tanh(x/(x*sin(x(exp(sinh(x))))))/(log(xexp(x))+log(cos(x)/sin(x)))
x*tanhx/x*sinxexpsinhx/logxexpx+logcosx/sinx
xtanh(x/(xsin(x^(exp(sinh(x))))))/(log(x^exp(x))+log(cos(x)/sin(x)))
xtanh(x/(xsin(x(exp(sinh(x))))))/(log(xexp(x))+log(cos(x)/sin(x)))
xtanhx/xsinxexpsinhx/logxexpx+logcosx/sinx
xtanhx/xsinx^expsinhx/logx^expx+logcosx/sinx
x*tanh(x dividir por (x*sin(x^(exp(sinh(x)))))) dividir por (log(x^exp(x))+log(cos(x) dividir por sin(x)))
Expresiones semejantes
x*tanh(x/(x*sin(x^(exp(sinh(x))))))/(log(x^exp(x))-log(cos(x)/sin(x)))
x*tanh(x/(x*sin(x^(exp(sinh(x))))))/(log(x^exp(x))+log(cosx/sinx))
Expresiones con funciones
Seno sin
sin^-1(x)
sin(x)cos(x)
sin²(x)
sin(3*x-pi/12)
sin(2*pi*x)
Logaritmo log
loga
log(1/(x*x-2)^(1/2))
log(x-3)
log2(5x+3)
log(cos(x))^(2)
Logaritmo log
loga
log(1/(x*x-2)^(1/2))
log(x-3)
log2(5x+3)
log(cos(x))^(2)
Coseno cos
cos(5-3*x)
cos(x)^(100)
cos/sin
cos(7*x)
cos(x)+3^x
Seno sin
sin^-1(x)
sin(x)cos(x)
sin²(x)
sin(3*x-pi/12)
sin(2*pi*x)

Derivada de la función/ x*tanh(x/(x*sin(x^(exp(sinh(x))))))/(log(x^exp(x))+log(cos(x)/sin(x)))

Derivada de xtanh(x/(xsin(x^(exp(sinh(x))))))/(log(x^exp(x))+log(cos(x)/sin(x)))

Solución

Ha introducido [src]

      /        x         \
x*tanh|------------------|
      |     / / sinh(x)\\|
      |     | \e       /||
      \x*sin\x          //
--------------------------
    / / x\\               
    | \e /|      /cos(x)\ 
 log\x    / + log|------| 
                 \sin(x)/

\frac{x \tanh{\left(\frac{x}{x \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)}}{\log{\left(x^{e^{x}} \right)} + \log{\left(\frac{\cos{\left(x \right)}}{\sin{\left(x \right)}} \right)}}

(x*tanh(x/((x*sin(x^exp(sinh(x)))))))/(log(x^exp(x)) + log(cos(x)/sin(x)))

Primera derivada [src]

                                                                                                                                                                                 /                   /        2   \       \                         
                                  /                          / / sinh(x)\\      / sinh(x)\ / sinh(x)                          \    / / sinh(x)\\\                                |                   |     cos (x)|       |                         
                                  |                          | \e       /|      \e       / |e                   sinh(x)       |    | \e       /||                                |                   |-1 - -------|*sin(x)|                         
                                  |                     - sin\x          / - x*x          *|-------- + cosh(x)*e       *log(x)|*cos\x          /|                                |   x               |        2   |       |                         
  /        2/        x         \\ |        1                                               \   x                              /                 |       /        x         \     |  e     x          \     sin (x)/       |     /        x         \
x*|1 - tanh |------------------||*|------------------ + ----------------------------------------------------------------------------------------| + tanh|------------------|   x*|- -- - e *log(x) - ---------------------|*tanh|------------------|
  |         |     / / sinh(x)\\|| |     / / sinh(x)\\                                           / / sinh(x)\\                                   |       |     / / sinh(x)\\|     \  x                        cos(x)       /     |     / / sinh(x)\\|
  |         |     | \e       /||| |     | \e       /|                                          2| \e       /|                                   |       |     | \e       /||                                                    |     | \e       /||
  \         \x*sin\x          /// \x*sin\x          /                                     x*sin \x          /                                   /       \x*sin\x          //                                                    \x*sin\x          //
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------
                                                                             / / x\\                                                                                                                                          2                     
                                                                             | \e /|      /cos(x)\                                                                                                  /   / / x\\              \                      
                                                                          log\x    / + log|------|                                                                                                  |   | \e /|      /cos(x)\|                      
                                                                                          \sin(x)/                                                                                                  |log\x    / + log|------||                      
                                                                                                                                                                                                    \                \sin(x)//

\frac{x \left(- \frac{\left(-1 - \frac{\cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}}\right) \sin{\left(x \right)}}{\cos{\left(x \right)}} - e^{x} \log{\left(x \right)} - \frac{e^{x}}{x}\right) \tanh{\left(\frac{x}{x \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)}}{\left(\log{\left(x^{e^{x}} \right)} + \log{\left(\frac{\cos{\left(x \right)}}{\sin{\left(x \right)}} \right)}\right)^{2}} + \frac{x \left(1 - \tanh^{2}{\left(\frac{x}{x \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)}\right) \left(\frac{1}{x \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + \frac{- x x^{e^{\sinh{\left(x \right)}}} \left(e^{\sinh{\left(x \right)}} \log{\left(x \right)} \cosh{\left(x \right)} + \frac{e^{\sinh{\left(x \right)}}}{x}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} - \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{x \sin^{2}{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}\right) + \tanh{\left(\frac{x}{x \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)}}{\log{\left(x^{e^{x}} \right)} + \log{\left(\frac{\cos{\left(x \right)}}{\sin{\left(x \right)}} \right)}}

Simplificar

Segunda derivada [src]

                               /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    2                                                                                                                  \                                                                                                                                                                                                                                                                                                                                   
                               |                                                                                                                                                                                                                                                                                                                                                                                              /        / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\                                                                                                                   |                                                                                                                                                                                                                                                                                                                                   
                               |                                                                                                                                                                                                                                                                                                                                                                                              |        \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||                                                                                                                   |                                                                                                                                                                                                                                                                                                                                   
                               |                                                                                                                                                                                                                                                                                                                                                                                              |     x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|                                                                                                                   |                                                                                                                                                                                                                                                                                                                                   
                               |                                                                                                                                                                                                                                                                                                                                                                                              |                   \x                 /                                             |      /       1        \                                                                                           |                                                                                                                                                                                                  /                                                                        2                               \                       
                               |            /                                                                                                                                                                                                /   / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\    / / sinh(x)\\                                                                \            2*|-1 + -------------------------------------------------------------------------------| *tanh|----------------|     /        / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\|     /                               /        / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\                         \                                             |                                 /                 /       2   \       \                                |                       
                               |            |                                                                                                                                                                           /1                 \ |   \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||    | \e       /|                                                                |              |                                        / / sinh(x)\\                               |      |   / / sinh(x)\\|     |        \e       / /1                 \    | \e       /|  sinh(x)      | \e       /|||     |                               |        \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||                         |                                             |                                 |                 |    cos (x)|       |                                |                       
                               | / sinh(x)\ |                          / / sinh(x)\\                                                              / / sinh(x)\\                         2    / / sinh(x)\\            2*|- + cosh(x)*log(x)|*|x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|*cos\x          /      / sinh(x)\                     2             / / sinh(x)\\|              |                                        | \e       /|                               |      |   | \e       /||     |     x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /||     |                               |     x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|                         |                                             |                                 |                 |1 + -------|*sin(x)|                   /       2   \|                       
                               | \e       / |  /1                 \    | \e       /|     /  1        2                              2*cosh(x)\    | \e       /|     /1                 \     | \e       /|  sinh(x)     \x                 / \              \x                 /                                             /                       \e       / /1                 \   sinh(x)    | \e       /||  sinh(x)     \                                     sin\x          /                               /      \sin\x          //     |                   \x                 /                                             ||     |/         2/       1        \\ |                   \x                 /                                             |                         | /                 /       2   \       \     |                                 | x               |       2   |       |              2    |    cos (x)||                       
                               |x          *|2*|- + cosh(x)*log(x)|*cos\x          / + x*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x          / + x*|- + cosh(x)*log(x)| *cos\x          /*e        - ------------------------------------------------------------------------------------------------------------------------- - x*x          *|- + cosh(x)*log(x)| *e       *sin\x          /|*e        + ----------------------------------------------------------------------------------------------------------------   2*|-1 + -------------------------------------------------------------------------------||     ||-1 + tanh |----------------||*|-1 + -------------------------------------------------------------------------------|                         | |                 |    cos (x)|       |     |                                 |e     x          \    sin (x)/       |           sin (x)*|1 + -------||                       
                               |            |  \x                 /                      |   2                                          x    |                      \x                 /                                                                                      / / sinh(x)\\                                                                     \x                 /                           |                                                                   x                                                             |                                        / / sinh(x)\\                               ||     ||          |   / / sinh(x)\\|| |                                        / / sinh(x)\\                               |                         | |                 |1 + -------|*sin(x)|     |       2                   x   2*|-- + e *log(x) - --------------------|       x           |       2   ||                       
                               |            |                                            \  x                                                /                                                                                                                                | \e       /|                                                                                                                    |                                                                                                                                 |                                        | \e       /|                               ||     ||          |   | \e       /||| |                                        | \e       /|                               |                         | | x               |       2   |       |     |    cos (x)    x          e      \x                       cos(x)       /    2*e            \    sin (x)/|     /       1        \
/         2/       1        \\ |            \                                                                                                                                                                                                                              sin\x          /                                                                                                                    /                                                                                                                                 \                                     sin\x          /                               /|     |\          \sin\x          /// \                                     sin\x          /                               /       /       1        \| |e     x          \    sin (x)/       |   x*|1 + ------- + e *log(x) - -- - ------------------------------------------ + ---- - ---------------------|*tanh|----------------|
|-1 + tanh |----------------||*|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + ----------------------------------------------------------------------------------------|   2*|--------------------------------------------------------------------------------------------------------------------- + tanh|----------------||*|-- + e *log(x) - --------------------|     |       2                   2               / / x\\                           x               2          |     |   / / sinh(x)\\|
|          |   / / sinh(x)\\|| |                                                                                                                                                                                                                                                 / / sinh(x)\\                                                                                                                                                                                                                                                                                            x                                            |     |                                                      / / sinh(x)\\                                                         |   / / sinh(x)\\|| \x                       cos(x)       /     |    sin (x)               x                | \e /|      /cos(x)\                          cos (x)       |     |   | \e       /||
|          |   | \e       /||| |                                                                                                                                                                                                                                                 | \e       /|                                                                                                                                                                                                                                                                                                                                         |     |                                                      | \e       /|                                                         |   | \e       /|||                                             |                                        log\x    / + log|------|                                        |     \sin\x          //
\          \sin\x          /// \                                                                                                                                                                                                                                              sin\x          /                                                                                                                                                                                                                                                                                                                                         /     \                                                   sin\x          /                                                         \sin\x          ///                                             \                                                        \sin(x)/                                        /                       
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - -----------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                                                                                                                                                                               / / sinh(x)\\                                                                                                                                                                                                                                                                                                                                                                                                   / / x\\                                                                                                                                                           / / x\\                                                                   
                                                                                                                                                                                                                                                                                                               | \e       /|                                                                                                                                                                                                                                                                                                                                                                                                   | \e /|      /cos(x)\                                                                                                                                             | \e /|      /cos(x)\                                                     
                                                                                                                                                                                                                                                                                                            sin\x          /                                                                                                                                                                                                                                                                                                                                                                                                log\x    / + log|------|                                                                                                                                          log\x    / + log|------|                                                     
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            \sin(x)/                                                                                                                                                          \sin(x)/                                                     
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                                                                                                                                                                                                                                                                                                                                             / / x\\                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       
                                                                                                                                                                                                                                                                                                                                                                                                                                                                             | \e /|      /cos(x)\                                                                                                                                                                                                                                                                                                                                                                                                                                                                         
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          log\x    / + log|------|                                                                                                                                                                                                                                                                                                                                                                                                                                                                         
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          \sin(x)/

\frac{- \frac{x \left(- \frac{\left(1 + \frac{\cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}}\right) \sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + e^{x} \log{\left(x \right)} + 1 + \frac{\cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}} - \frac{2 \left(- \frac{\left(1 + \frac{\cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}}\right) \sin{\left(x \right)}}{\cos{\left(x \right)}} + e^{x} \log{\left(x \right)} + \frac{e^{x}}{x}\right)^{2}}{\log{\left(x^{e^{x}} \right)} + \log{\left(\frac{\cos{\left(x \right)}}{\sin{\left(x \right)}} \right)}} + \frac{2 e^{x}}{x} - \frac{e^{x}}{x^{2}}\right) \tanh{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)}}{\log{\left(x^{e^{x}} \right)} + \log{\left(\frac{\cos{\left(x \right)}}{\sin{\left(x \right)}} \right)}} + \frac{\left(\frac{x^{e^{\sinh{\left(x \right)}}} \left(- x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + x \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + x \left(\log{\left(x \right)} \sinh{\left(x \right)} + \log{\left(x \right)} \cosh^{2}{\left(x \right)} + \frac{2 \cosh{\left(x \right)}}{x} - \frac{1}{x^{2}}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} - \frac{2 \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \left(x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + 2 \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) e^{\sinh{\left(x \right)}} + \frac{2 \left(\frac{x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - 1\right)^{2} \tanh{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)}}{x}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + \frac{2 \left(\frac{x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - 1\right)}{x}\right) \left(\tanh^{2}{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)} - 1\right)}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - \frac{2 \left(\frac{\left(\frac{x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - 1\right) \left(\tanh^{2}{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)} - 1\right)}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + \tanh{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)}\right) \left(- \frac{\left(1 + \frac{\cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}}\right) \sin{\left(x \right)}}{\cos{\left(x \right)}} + e^{x} \log{\left(x \right)} + \frac{e^{x}}{x}\right)}{\log{\left(x^{e^{x}} \right)} + \log{\left(\frac{\cos{\left(x \right)}}{\sin{\left(x \right)}} \right)}}}{\log{\left(x^{e^{x}} \right)} + \log{\left(\frac{\cos{\left(x \right)}}{\sin{\left(x \right)}} \right)}}

Simplificar

Tercera derivada [src]

                               /                                                                                    /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    2                       \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    2                                                                                                                  \                                        
                               |                                                                                    |                                                                                                                                                                                                                                                                                                                                                                                              /        / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\                        |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        |                                                                                                                                                                                                                                                                                                                                                                                              /        / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\                                                                                                                   |                                        
                               |                                                                                    |                                                                                                                                                                                                                                                                                                                                                                                              |        \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||                        |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        |                                                                                                                                                                                                                                                                                                                                                                                              |        \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||                                                                                                                   |                                        
                               |                                                                                    |                                                                                                                                                                                                                                                                                                                                                                                              |     x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|                        |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          |                                                                                                                                                                                                                                                                     /                                                                                                 3     /                 /       2   \       \ /                                              /       2   \\                                                                                          \                                                           |                                                                                                                                                                                                                                                                                                                                                                                              |     x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|                                                                                                                   |                                        
                               |                                                                                    |                                                                                                                                                                                                                                                                                                                                                                                              |                   \x                 /                                             |      /       1        \|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 3                                                                                                                                                                                                                                                             3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          |     /                               /        / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\                         \ /                                                                        2                               \     |                                                          /                 /       2   \       \      |                 |    cos (x)|       | |                                         2    |    cos (x)||                                                                                          |                                                           |                                                                                                                                                                                                                                                                                                                                                                                              |                   \x                 /                                             |      /       1        \                                                                                           |                                        
                               |                                                                                    |            /                                                                                                                                                                                                /   / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\    / / sinh(x)\\                                                                \            2*|-1 + -------------------------------------------------------------------------------| *tanh|----------------||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    /     / sinh(x)\                         / / sinh(x)\\         \                                                                                                                                                                                                                                                                                                                                                       /        / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\                                                                                                                                                                        /        / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                /        / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\ /                                                                                                                                                                                                /   / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\    / / sinh(x)\\                                                                \                                |     |                               |        \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||                         | |                                 /                 /       2   \       \                                |     |                                                          |                 |    cos (x)|       |      |                 |1 + -------|*sin(x)| |                                      sin (x)*|1 + -------||                                                                                          |                                                           |            /                                                                                                                                                                                                /   / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\    / / sinh(x)\\                                                                \            2*|-1 + -------------------------------------------------------------------------------| *tanh|----------------|     /        / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\|                                        
                               |                                                                                    |            |                                                                                                                                                                           /1                 \ |   \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||    | \e       /|                                                                |              |                                        / / sinh(x)\\                               |      |   / / sinh(x)\\||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    |     \e       / /1                 \    | \e       /|  sinh(x)|                                                                                                                                                                                                                                                                                                                                                       |        \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||                                                                                                                                                                        |        \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                |        \e       / /1                 \    | \e       /|  sinh(x)      | \e       /|| |                                                                                                                                                                           /1                 \ |   \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||    | \e       /|                                                                |                                |     |                               |     x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|                         | |                                 |                 |    cos (x)|       |                                |     |                                                          |                 |1 + -------|*sin(x)|      | x               |       2   |       | |       2                   x      x           |       2   ||     /         4           2   \                    /       2   \     /       2   \       |                                                           |            |                                                                                                                                                                           /1                 \ |   \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||    | \e       /|                                                                |              |                                        / / sinh(x)\\                               |      |   / / sinh(x)\\|     |        \e       / /1                 \    | \e       /|  sinh(x)      | \e       /|||                                        
                               |                                                                                    | / sinh(x)\ |                          / / sinh(x)\\                                                              / / sinh(x)\\                         2    / / sinh(x)\\            2*|- + cosh(x)*log(x)|*|x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|*cos\x          /      / sinh(x)\                     2             / / sinh(x)\\|              |                                        | \e       /|                               |      |   | \e       /|||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    |    x          *|- + cosh(x)*log(x)|*cos\x          /*e       | /   / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\                                                                                                                                                                                                                                                                     |     x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|                                                                                                                                                                        |     x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     / sinh(x)\ |     x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /| |                          / / sinh(x)\\                                                              / / sinh(x)\\                         2    / / sinh(x)\\            2*|- + cosh(x)*log(x)|*|x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|*cos\x          /      / sinh(x)\                     2             / / sinh(x)\\|                                |     |/         2/       1        \\ |                   \x                 /                                             |                         | |                                 |                 |1 + -------|*sin(x)|                   /       2   \|     |                                                          | x               |       2   |       |      |e     x          \    sin (x)/       | |    cos (x)    x          e    2*e            \    sin (x)/|     |    3*cos (x)   4*cos (x)|               3    |    cos (x)|     |    cos (x)|       |                                                           | / sinh(x)\ |                          / / sinh(x)\\                                                              / / sinh(x)\\                         2    / / sinh(x)\\            2*|- + cosh(x)*log(x)|*|x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|*cos\x          /      / sinh(x)\                     2             / / sinh(x)\\|              |                                        | \e       /|                               |      |   | \e       /||     |     x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /||                                        
                               |                                                                                    | \e       / |  /1                 \    | \e       /|     /  1        2                              2*cosh(x)\    | \e       /|     /1                 \     | \e       /|  sinh(x)     \x                 / \              \x                 /                                             /                       \e       / /1                 \   sinh(x)    | \e       /||  sinh(x)     \                                     sin\x          /                               /      \sin\x          //|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    |1               \x                 /                          | |   \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||    / sinh(x)\ /                          / / sinh(x)\\                                                              / / sinh(x)\\                         2    / / sinh(x)\\               / sinh(x)\                     2             / / sinh(x)\\\              |                   \x                 /                                             |  /         2/       1        \\                                                                                                                                        |                   \x                 /                                             |      2/       1        \         sinh(x)                      /                          / / sinh(x)\\                                                              / / sinh(x)\\                         2    / / sinh(x)\\               / sinh(x)\                     2             / / sinh(x)\\\    / / sinh(x)\\                                                                                                                                                                     / sinh(x)\ /   / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\                                                          / / sinh(x)\\                                                                                                                                                                                                                                                                                                                     \e       / |                   \x                 /                                             | |  /1                 \    | \e       /|     /  1        2                              2*cosh(x)\    | \e       /|     /1                 \     | \e       /|  sinh(x)     \x                 / \              \x                 /                                             /                       \e       / /1                 \   sinh(x)    | \e       /||  sinh(x)     /       1        \|     ||-1 + tanh |----------------||*|-1 + -------------------------------------------------------------------------------|                         | |                                 | x               |       2   |       |              2    |    cos (x)||     |                                                          |e     x          \    sin (x)/       |    6*|-- + e *log(x) - --------------------|*|1 + ------- + e *log(x) - -- + ---- - ---------------------|   2*|1 + --------- + ---------|*sin(x)   2*sin (x)*|1 + -------|   2*|1 + -------|*sin(x)|                                                           | \e       / |  /1                 \    | \e       /|     /  1        2                              2*cosh(x)\    | \e       /|     /1                 \     | \e       /|  sinh(x)     \x                 / \              \x                 /                                             /                       \e       / /1                 \   sinh(x)    | \e       /||  sinh(x)     \                                     sin\x          /                               /      \sin\x          //     |                   \x                 /                                             || /                 /       2   \       \
                               |   / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\   3*|x          *|2*|- + cosh(x)*log(x)|*cos\x          / + x*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x          / + x*|- + cosh(x)*log(x)| *cos\x          /*e        - ------------------------------------------------------------------------------------------------------------------------- - x*x          *|- + cosh(x)*log(x)| *e       *sin\x          /|*e        + ----------------------------------------------------------------------------------------------------------------|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    |- + ----------------------------------------------------------|*|x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|    \e       / |  /1                 \    | \e       /|     /  1        2                              2*cosh(x)\    | \e       /|     /1                 \     | \e       /|  sinh(x)      \e       / /1                 \   sinh(x)    | \e       /||  sinh(x)   2*|-1 + -------------------------------------------------------------------------------| *|-1 + tanh |----------------||                                                                                                                                      4*|-1 + -------------------------------------------------------------------------------| *tanh |----------------|      2*e        /1                 \ |  /1                 \    | \e       /|     /  1        2                              2*cosh(x)\    | \e       /|     /1                 \     | \e       /|  sinh(x)      \e       / /1                 \   sinh(x)    | \e       /||    | \e       /|  2*sinh(x)      / sinh(x)\                     2 /   / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\    / / sinh(x)\\                 \e       / |   \e       / /1                 \    | \e       /|  sinh(x)      | \e       /|| /  1        2                              2*cosh(x)\    | \e       /|  sinh(x)         sinh(x)                     2     / / sinh(x)\\ /   / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\                 / sinh(x)\                      /   / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\    / / sinh(x)\\            6*x          *|-1 + -------------------------------------------------------------------------------|*|2*|- + cosh(x)*log(x)|*cos\x          / + x*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x          / + x*|- + cosh(x)*log(x)| *cos\x          /*e        - ------------------------------------------------------------------------------------------------------------------------- - x*x          *|- + cosh(x)*log(x)| *e       *sin\x          /|*e       *tanh|----------------||     ||          |   / / sinh(x)\\|| |                                        / / sinh(x)\\                               |                         | |                                 |e     x          \    sin (x)/       |           sin (x)*|1 + -------||     |               x      x      x        3                 6*|-- + e *log(x) - --------------------|      \x                       cos(x)       / |       2                   2    x               2          |     |        4           2    |                    |       2   |     |       2   |       |                                                           |x          *|2*|- + cosh(x)*log(x)|*cos\x          / + x*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x          / + x*|- + cosh(x)*log(x)| *cos\x          /*e        - ------------------------------------------------------------------------------------------------------------------------- - x*x          *|- + cosh(x)*log(x)| *e       *sin\x          /|*e        + ----------------------------------------------------------------------------------------------------------------   2*|-1 + -------------------------------------------------------------------------------|| |                 |    cos (x)|       |
                               |   \e       / /1                 \    | \e       /|  sinh(x)      | \e       /|     |            |  \x                 /                      |   2                                          x    |                      \x                 /                                                                                      / / sinh(x)\\                                                                     \x                 /                           |                                                                   x                                                        |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    |x                           / / sinh(x)\\                     | \              \x                 /                                             /   x          *|2*|- + cosh(x)*log(x)|*cos\x          / + x*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x          / + x*|- + cosh(x)*log(x)| *cos\x          /*e        - x*x          *|- + cosh(x)*log(x)| *e       *sin\x          /|*e            |                                        / / sinh(x)\\                               |  |          |   / / sinh(x)\\||                                                                                                                                        |                                        / / sinh(x)\\                               |       |   / / sinh(x)\\|   4*x          *|- + cosh(x)*log(x)|*|2*|- + cosh(x)*log(x)|*cos\x          / + x*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x          / + x*|- + cosh(x)*log(x)| *cos\x          /*e        - x*x          *|- + cosh(x)*log(x)| *e       *sin\x          /|*cos\x          /*e               \e       / /1                 \  |   \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||    | \e       /|  2*sinh(x)   2*x          *|x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x          /*e             2*e        /1                 \     2| \e       /| |   \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||  2*sinh(x)      \e       / /1                 \ |   \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||    | \e       /|  sinh(x)                 |                                        / / sinh(x)\\                               | |  \x                 /                      |   2                                          x    |                      \x                 /                                                                                      / / sinh(x)\\                                                                     \x                 /                           |              |   / / sinh(x)\\||     ||          |   | \e       /||| |                                        | \e       /|                               |                         | |       2                   x   2*|-- + e *log(x) - --------------------|       x           |       2   ||     | x          3*e    2*e    3*e    4*cos (x)   4*cos(x)     \x                       cos(x)       /                                              \    sin (x)               x                  cos (x)       /     \     sin (x)     sin (x) /                    \    sin (x)/     \    sin (x)/       |     /       1        \                                    |            |  \x                 /                      |   2                                          x    |                      \x                 /                                                                                      / / sinh(x)\\                                                                     \x                 /                           |                                                                   x                                                             |                                        / / sinh(x)\\                               || |                 |1 + -------|*sin(x)|
                               |x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /     |            |                                            \  x                                                /                                                                                                                                | \e       /|                                                                                                                    |                                                                                                                            |    / sinh(x)\ /                                                           / / sinh(x)\\     /                                                          2                                          \    / / sinh(x)\\                         2    / / sinh(x)\\                                  3    / / sinh(x)\\                 / sinh(x)\                     2             / / sinh(x)\\         sinh(x)                     3    / / sinh(x)\\                   / sinh(x)\                     3               / / sinh(x)\\                                                                                     / / sinh(x)\\                 / sinh(x)\                                                                                        / / sinh(x)\\\            |                            | \e       /|                     |                                                                                                 |  \x                 /                      |   2                                          x    |                      \x                 /                                            \x                 /                           |              |                                        | \e       /|                               |  |          |   | \e       /|||         sinh(x)                     2 /   / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\                |                                        | \e       /|                               |       |   | \e       /||                 \x                 / |  \x                 /                      |   2                                          x    |                      \x                 /                                            \x                 /                           |                               2*x          *|- + cosh(x)*log(x)| *|x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|*cos\x          /*e                          \              \x                 /                                             / |   2                                          x    |                             6*x          *|- + cosh(x)*log(x)| *cos \x          /*|x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|*e            3*x          *|- + cosh(x)*log(x)|*|x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|*cos\x          /*e                        |                                        | \e       /|                               | |                                            \  x                                                /                                                                                                                                | \e       /|                                                                                                                    |              |   | \e       /|||     |\          \sin\x          /// \                                     sin\x          /                               /       /       1        \| |    cos (x)    x          e      \x                       cos(x)       /    2*e            \    sin (x)/|   x*|e *log(x) - ---- + ---- + ---- + --------- + -------- + ------------------------------------------ - ------------------------------------------------------------------------------------------------------- - ------------------------------------ - ----------------------- + ----------------------|*tanh|----------------|                                    |            |                                            \  x                                                /                                                                                                                                | \e       /|                                                                                                                    |                                                                                                                                 |                                        | \e       /|                               || | x               |       2   |       |
/         2/       1        \\ |              \x                 /                                                  \            \                                                                                                                                                                                                                              sin\x          /                                                                                                                    /                                                                                                                            /    \e       / |  /  1        2                              2*cosh(x)\    | \e       /|     |2        3                              3*cosh(x)   3*cosh (x)   3*sinh(x)                           |    | \e       /|     /1                 \     | \e       /|  sinh(x)     /1                 \     | \e       /|  2*sinh(x)      \e       / /1                 \   sinh(x)    | \e       /|      2*e        /1                 \     | \e       /|  2*sinh(x)        \e       / /1                 \   2*sinh(x)    | \e       /|       /1                 \ /  1        2                              2*cosh(x)\    | \e       /|  sinh(x)        \e       / /1                 \ /  1        2                              2*cosh(x)\  sinh(x)    | \e       /||  sinh(x)   \                         sin\x          /                     /                                                                                                 \                                            \  x                                                /                                                                                                                                     /              \                                     sin\x          /                               /  \          \sin\x          ///      2*e        /1                 \  |   \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||  2*sinh(x)     \                                     sin\x          /                               /       \sin\x          //                                      \                                            \  x                                                /                                                                                                                                     /                                             \x                 /  \              \x                 /                                             /                                                                                                                               \  x                                                /                                           \x                 /                    \              \x                 /                                             /                            \x                 / \              \x                 /                                             /                                           \                                     sin\x          /                               / \                                                                                                                                                                                                                              sin\x          /                                                                                                                    /              \sin\x          //|   3*|--------------------------------------------------------------------------------------------------------------------- + tanh|----------------||*|1 + ------- + e *log(x) - -- - ------------------------------------------ + ---- - ---------------------|     |              2      3     x         3        sin(x)                                     2                                                      / / x\\                                                                       cos(x)                             3                      cos(x)        |     |   / / sinh(x)\\|     /         2/       1        \\ |            \                                                                                                                                                                                                                              sin\x          /                                                                                                                    /                                                                                                                                 \                                     sin\x          /                               /| |e     x          \    sin (x)/       |
|-1 + tanh |----------------||*|------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + x          *|3*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x          / + x*|-- + cosh (x)*log(x) + cosh(x)*log(x) - --------- + ---------- + --------- + 3*cosh(x)*log(x)*sinh(x)|*cos\x          / + 3*|- + cosh(x)*log(x)| *cos\x          /*e        + x*|- + cosh(x)*log(x)| *cos\x          /*e          - 3*x          *|- + cosh(x)*log(x)| *e       *sin\x          / - x*x          *|- + cosh(x)*log(x)| *cos\x          /*e          - 3*x*x          *|- + cosh(x)*log(x)| *e         *sin\x          / + 3*x*|- + cosh(x)*log(x)|*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x          /*e        - 3*x*x          *|- + cosh(x)*log(x)|*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*e       *sin\x          /|*e        - -------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------ + 2*x          *|- + cosh(x)*log(x)| *|x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|*e          + ----------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|     |                                                      / / sinh(x)\\                                                         |   / / sinh(x)\\|| |       2                   2               / / x\\                           x               2          |     |             x      x             sin (x)                      /   / / x\\              \                                                       | \e /|      /cos(x)\                                                                                         cos (x)                                 |     |   | \e       /||   3*|-1 + tanh |----------------||*|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + ----------------------------------------------------------------------------------------|*|-- + e *log(x) - --------------------|
|          |   / / sinh(x)\\|| |                                        2                                                                                                                                                                                                                                                                                                x                                                                                                                                                                                                                                                                       |  |   2                                          x    |                      | 3                                           2          x            x                               |                      \x                 /                                \x                 /                                              \x                 /                                            \x                 /                                                \x                 /                                    \x                 / |   2                                          x    |                                             \x                 / |   2                                          x    |                          |                                                                                    x                                                                                                                                                                                                          x                                                                                                                                                                                         / / sinh(x)\\                                                                    \x                 /  \              \x                 /                                             /                                                                   / / sinh(x)\\                                                                                                                                                                                                 / / sinh(x)\\                                                                                                                                                                                                                  / / sinh(x)\\                                                                                                                                                      / / sinh(x)\\                                                                                                                                                      / / sinh(x)\\                                                                                                                                       / / sinh(x)\\                                                                                                                                                                                                                                                                                                                  / / sinh(x)\\                                                                                                                                                                                                                                           |     |                                                      | \e       /|                                                         |   | \e       /||| |    sin (x)               x                | \e /|      /cos(x)\                          cos (x)       |     |                                                               |   | \e /|      /cos(x)\|                                                    log\x    / + log|------|                                                                                                                                 |     \sin\x          //     |          |   / / sinh(x)\\|| |                                                                                                                                                                                                                                                 / / sinh(x)\\                                                                                                                                                                                                                                                                                            x                                            | \x                       cos(x)       /
|          |   | \e       /||| |                                       x                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         \  \  x                                                /                      \x                                           x                                                        /                                                                                                                                                                                                                                                                                                                                                             \  x                                                /                                                                  \  x                                                /                          /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    2    | \e       /|                                                                                                                                                                                                                                         2    | \e       /|                                                                                                                                                                                                 | \e       /|                                                                                                                                                                                                                  | \e       /|                                                                                                                                                      | \e       /|                                                                                                                                                     2| \e       /|                                                                                                                                       | \e       /|                                                                                                                                                                                                                                                                                                                  | \e       /|                                                                                                                                                                                                                                           |     \                                                   sin\x          /                                                         \sin\x          /// |                                        log\x    / + log|------|                                        |     |                                                               |log\x    / + log|------||                                                                    \sin(x)/                                                                                                                                 |                            |          |   | \e       /||| |                                                                                                                                                                                                                                                 | \e       /|                                                                                                                                                                                                                                                                                                                                         |                                        
\          \sin\x          /// \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             x *sin\x          /                                                                                                                                                                                                                                        x *sin\x          /                                                                                                                                                                                              sin\x          /                                                                                                                                                                                                               sin\x          /                                                                                                                                                   sin\x          /                                                                                                                                                  sin \x          /                                                                                                                                  x*sin\x          /                                                                                                                                                                                                                                                                                                             x*sin\x          /                                                                                                                                                                                                                                           /                                                                                                                                                      \                                                        \sin(x)/                                        /     \                                                               \                \sin(x)//                                                                                                                                                                                                             /                            \          \sin\x          /// \                                                                                                                                                                                                                                              sin\x          /                                                                                                                                                                                                                                                                                                                                         /                                        
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      sin \x          /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            log\x    / + log|------|                                                                                                                                                                                                                                                                          log\x    / + log|------|                                                                                                                                                                                                                                                                                                                                                                                                                                                                          |log\x    / + log|------||*sin\x          /                                                                                                                                                                                                                                                                                                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   \sin(x)/                                                                                                                                                                                                                                                                                          \sin(x)/                                                                                                                                                                                                                                                                                                                                                                                                                                                                          \                \sin(x)//                                                                                                                                                                                                                                                                                                                                     
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               \sin(x)/

\frac{- \frac{x \left(- \frac{2 \left(1 + \frac{\cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}}\right) \sin^{3}{\left(x \right)}}{\cos^{3}{\left(x \right)}} + \frac{2 \left(1 + \frac{\cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}}\right) \sin{\left(x \right)}}{\cos{\left(x \right)}} - \frac{2 \left(1 + \frac{4 \cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}} + \frac{3 \cos^{4}{\left(x \right)}}{\sin^{4}{\left(x \right)}}\right) \sin{\left(x \right)}}{\cos{\left(x \right)}} + e^{x} \log{\left(x \right)} + \frac{4 \cos{\left(x \right)}}{\sin{\left(x \right)}} + \frac{4 \cos^{3}{\left(x \right)}}{\sin^{3}{\left(x \right)}} - \frac{6 \left(- \frac{\left(1 + \frac{\cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}}\right) \sin{\left(x \right)}}{\cos{\left(x \right)}} + e^{x} \log{\left(x \right)} + \frac{e^{x}}{x}\right) \left(- \frac{\left(1 + \frac{\cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}}\right) \sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + e^{x} \log{\left(x \right)} + 1 + \frac{\cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}} + \frac{2 e^{x}}{x} - \frac{e^{x}}{x^{2}}\right)}{\log{\left(x^{e^{x}} \right)} + \log{\left(\frac{\cos{\left(x \right)}}{\sin{\left(x \right)}} \right)}} + \frac{6 \left(- \frac{\left(1 + \frac{\cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}}\right) \sin{\left(x \right)}}{\cos{\left(x \right)}} + e^{x} \log{\left(x \right)} + \frac{e^{x}}{x}\right)^{3}}{\left(\log{\left(x^{e^{x}} \right)} + \log{\left(\frac{\cos{\left(x \right)}}{\sin{\left(x \right)}} \right)}\right)^{2}} + \frac{3 e^{x}}{x} - \frac{3 e^{x}}{x^{2}} + \frac{2 e^{x}}{x^{3}}\right) \tanh{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)}}{\log{\left(x^{e^{x}} \right)} + \log{\left(\frac{\cos{\left(x \right)}}{\sin{\left(x \right)}} \right)}} - \frac{3 \left(\frac{x^{e^{\sinh{\left(x \right)}}} \left(- x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + x \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + x \left(\log{\left(x \right)} \sinh{\left(x \right)} + \log{\left(x \right)} \cosh^{2}{\left(x \right)} + \frac{2 \cosh{\left(x \right)}}{x} - \frac{1}{x^{2}}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} - \frac{2 \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \left(x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + 2 \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) e^{\sinh{\left(x \right)}} + \frac{2 \left(\frac{x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - 1\right)^{2} \tanh{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)}}{x}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + \frac{2 \left(\frac{x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - 1\right)}{x}\right) \left(\tanh^{2}{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)} - 1\right) \left(- \frac{\left(1 + \frac{\cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}}\right) \sin{\left(x \right)}}{\cos{\left(x \right)}} + e^{x} \log{\left(x \right)} + \frac{e^{x}}{x}\right)}{\left(\log{\left(x^{e^{x}} \right)} + \log{\left(\frac{\cos{\left(x \right)}}{\sin{\left(x \right)}} \right)}\right) \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - \frac{3 \left(\frac{\left(\frac{x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - 1\right) \left(\tanh^{2}{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)} - 1\right)}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + \tanh{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)}\right) \left(- \frac{\left(1 + \frac{\cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}}\right) \sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + e^{x} \log{\left(x \right)} + 1 + \frac{\cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}} - \frac{2 \left(- \frac{\left(1 + \frac{\cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}}\right) \sin{\left(x \right)}}{\cos{\left(x \right)}} + e^{x} \log{\left(x \right)} + \frac{e^{x}}{x}\right)^{2}}{\log{\left(x^{e^{x}} \right)} + \log{\left(\frac{\cos{\left(x \right)}}{\sin{\left(x \right)}} \right)}} + \frac{2 e^{x}}{x} - \frac{e^{x}}{x^{2}}\right)}{\log{\left(x^{e^{x}} \right)} + \log{\left(\frac{\cos{\left(x \right)}}{\sin{\left(x \right)}} \right)}} + \frac{\left(\tanh^{2}{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)} - 1\right) \left(2 x^{2 e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} \left(x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) e^{2 \sinh{\left(x \right)}} + \frac{6 x^{2 e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} \left(x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) e^{2 \sinh{\left(x \right)}} \cos^{2}{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin^{2}{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - \frac{4 x^{2 e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \left(- x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + x \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + x \left(\log{\left(x \right)} \sinh{\left(x \right)} + \log{\left(x \right)} \cosh^{2}{\left(x \right)} + \frac{2 \cosh{\left(x \right)}}{x} - \frac{1}{x^{2}}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + 2 \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) e^{2 \sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - \frac{2 x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} \left(x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) e^{2 \sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - \frac{2 x^{e^{\sinh{\left(x \right)}}} \left(x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) \left(\log{\left(x \right)} \sinh{\left(x \right)} + \log{\left(x \right)} \cosh^{2}{\left(x \right)} + \frac{2 \cosh{\left(x \right)}}{x} - \frac{1}{x^{2}}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + x^{e^{\sinh{\left(x \right)}}} \left(- x x^{2 e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{3} e^{2 \sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} - 3 x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{3} e^{2 \sinh{\left(x \right)}} \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)} - 3 x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \left(\log{\left(x \right)} \sinh{\left(x \right)} + \log{\left(x \right)} \cosh^{2}{\left(x \right)} + \frac{2 \cosh{\left(x \right)}}{x} - \frac{1}{x^{2}}\right) e^{\sinh{\left(x \right)}} \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + x \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{3} e^{2 \sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + 3 x \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \left(\log{\left(x \right)} \sinh{\left(x \right)} + \log{\left(x \right)} \cosh^{2}{\left(x \right)} + \frac{2 \cosh{\left(x \right)}}{x} - \frac{1}{x^{2}}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + x \left(3 \log{\left(x \right)} \sinh{\left(x \right)} \cosh{\left(x \right)} + \log{\left(x \right)} \cosh^{3}{\left(x \right)} + \log{\left(x \right)} \cosh{\left(x \right)} + \frac{3 \sinh{\left(x \right)}}{x} + \frac{3 \cosh^{2}{\left(x \right)}}{x} - \frac{3 \cosh{\left(x \right)}}{x^{2}} + \frac{2}{x^{3}}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} - 3 x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + 3 \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + 3 \left(\log{\left(x \right)} \sinh{\left(x \right)} + \log{\left(x \right)} \cosh^{2}{\left(x \right)} + \frac{2 \cosh{\left(x \right)}}{x} - \frac{1}{x^{2}}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) e^{\sinh{\left(x \right)}} + \frac{6 x^{e^{\sinh{\left(x \right)}}} \left(\frac{x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - 1\right) \left(- x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + x \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + x \left(\log{\left(x \right)} \sinh{\left(x \right)} + \log{\left(x \right)} \cosh^{2}{\left(x \right)} + \frac{2 \cosh{\left(x \right)}}{x} - \frac{1}{x^{2}}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} - \frac{2 \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \left(x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + 2 \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) e^{\sinh{\left(x \right)}} \tanh{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)}}{x \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + \frac{3 x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \left(x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{x \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - \frac{x^{e^{\sinh{\left(x \right)}}} \left(- x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + x \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + x \left(\log{\left(x \right)} \sinh{\left(x \right)} + \log{\left(x \right)} \cosh^{2}{\left(x \right)} + \frac{2 \cosh{\left(x \right)}}{x} - \frac{1}{x^{2}}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + 2 \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) e^{\sinh{\left(x \right)}}}{x} + \frac{3 \left(x^{e^{\sinh{\left(x \right)}}} \left(- x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + x \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + x \left(\log{\left(x \right)} \sinh{\left(x \right)} + \log{\left(x \right)} \cosh^{2}{\left(x \right)} + \frac{2 \cosh{\left(x \right)}}{x} - \frac{1}{x^{2}}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} - \frac{2 \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \left(x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + 2 \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) e^{\sinh{\left(x \right)}} + \frac{2 \left(\frac{x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - 1\right)^{2} \tanh{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)}}{x}\right)}{x} - \frac{\left(x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) \left(\frac{x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + \frac{1}{x}\right)}{x} + \frac{2 \left(\frac{x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - 1\right)^{3} \left(\tanh^{2}{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)} - 1\right)}{x^{2} \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + \frac{4 \left(\frac{x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - 1\right)^{3} \tanh^{2}{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)}}{x^{2} \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + \frac{x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{x^{2}}\right)}{\sin^{2}{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}}{\log{\left(x^{e^{x}} \right)} + \log{\left(\frac{\cos{\left(x \right)}}{\sin{\left(x \right)}} \right)}}

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Derivada de xtanh(x/(xsin(x^(exp(sinh(x))))))/(log(x^exp(x))+log(cos(x)/sin(x)))

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Derivada de x*tanh(x/(x*sin(x^(exp(sinh(x))))))/(log(x^exp(x))+log(cos(x)/sin(x)))

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Definida a trozos:

Solución

Derivada de xtanh(x/(xsin(x^(exp(sinh(x))))))/(log(x^exp(x))+log(cos(x)/sin(x)))