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Derivada de:
Derivada de 2*cos(x)/sin(x)
Derivada de (27/10)*t+(3/4)
Derivada de (1+4x^2)^3
Derivada de y(x)=tg5x
Expresiones idénticas
x*exln(sqrt((x+ dos mil veinte)^(dos mil veinte)/(x+ dos mil veintidós)^(dos mil veintidós)))^(uno / dos mil veintiuno)p(-x)
x multiplicar por exln( raíz cuadrada de ((x más 2020) en el grado (2020) dividir por (x más 2022) en el grado (2022))) en el grado (1 dividir por 2021)p( menos x)
x multiplicar por exln( raíz cuadrada de ((x más dos mil veinte) en el grado (dos mil veinte) dividir por (x más dos mil veintidós) en el grado (dos mil veintidós))) en el grado (uno dividir por dos mil veintiuno)p( menos x)
x*exln(√((x+2020)^(2020)/(x+2022)^(2022)))^(1/2021)p(-x)
x*exln(sqrt((x+2020)(2020)/(x+2022)(2022)))(1/2021)p(-x)
x*exlnsqrtx+20202020/x+202220221/2021p-x
xexln(sqrt((x+2020)^(2020)/(x+2022)^(2022)))^(1/2021)p(-x)
xexln(sqrt((x+2020)(2020)/(x+2022)(2022)))(1/2021)p(-x)
xexlnsqrtx+20202020/x+202220221/2021p-x
xexlnsqrtx+2020^2020/x+2022^2022^1/2021p-x
x*exln(sqrt((x+2020)^(2020) dividir por (x+2022)^(2022)))^(1 dividir por 2021)p(-x)
Expresiones semejantes
x*exln(sqrt((x+2020)^(2020)/(x-2022)^(2022)))^(1/2021)p(-x)
x*exln(sqrt((x-2020)^(2020)/(x+2022)^(2022)))^(1/2021)p(-x)
x*exln(sqrt((x+2020)^(2020)/(x+2022)^(2022)))^(1/2021)p(x)

Derivada de la función/ x*exln(sqrt((x+2020)^(2020)/(x+2022)^(2022)))^(1/2021)p(-x)

Derivada de x*exln(sqrt((x+2020)^(2020)/(x+2022)^(2022)))^(1/2021)p(-x)

Solución

Ha introducido [src]

              _____________________________       
             /    /      ________________\        
            /     |     /           2020 |        
   x       /      |    /  (x + 2020)     |        
x*E *     /    log|   /   -------------- | *p*(-x)
     2021/        |  /              2022 |        
       \/         \\/     (x + 2022)     /

- x p e^{x} x \sqrt[2021]{\log{\left(\sqrt{\frac{\left(x + 2020\right)^{2020}}{\left(x + 2022\right)^{2022}}} \right)}}

(((x*E^x)*log(sqrt((x + 2020)^2020/(x + 2022)^2022))^(1/2021))*p)*(-x)

Primera derivada [src]

      /                                                                      /                 2020                  2019\   \                                                
      |         _____________________________                           2022 |  1011*(x + 2020)       1010*(x + 2020)    |  x|                _____________________________   
      |        /    /      ________________\                x*(x + 2022)    *|- ------------------- + -------------------|*e |               /    /      ________________\    
      |       /     |     /           2020 |                                 |               2023                  2022  |   |              /     |     /           2020 |    
      |      /      |    /  (x + 2020)     |  / x      x\                    \     (x + 2022)            (x + 2022)      /   |             /      |    /  (x + 2020)     |   x
- p*x*|     /    log|   /   -------------- | *\E  + x*e / + -----------------------------------------------------------------| - p*x*     /    log|   /   -------------- | *e 
      |2021/        |  /              2022 |                                                                       2020      |       2021/        |  /              2022 |    
      |  \/         \\/     (x + 2022)     /                                                                       ----      |         \/         \\/     (x + 2022)     /    
      |                                                                                                            2021      |                                                
      |                                                                               /   /      ________________\\          |                                                
      |                                                                               |   |     /           2020 ||          |                                                
      |                                                                          2020 |   |    /  (x + 2020)     ||          |                                                
      |                                                           2021*(x + 2020)    *|log|   /   -------------- ||          |                                                
      |                                                                               |   |  /              2022 ||          |                                                
      \                                                                               \   \\/     (x + 2022)     //          /

- p x \left(\frac{x \left(x + 2022\right)^{2022} \left(- \frac{1011 \left(x + 2020\right)^{2020}}{\left(x + 2022\right)^{2023}} + \frac{1010 \left(x + 2020\right)^{2019}}{\left(x + 2022\right)^{2022}}\right) e^{x}}{2021 \left(x + 2020\right)^{2020} \log{\left(\sqrt{\frac{\left(x + 2020\right)^{2020}}{\left(x + 2022\right)^{2022}}} \right)}^{\frac{2020}{2021}}} + \left(e^{x} + x e^{x}\right) \sqrt[2021]{\log{\left(\sqrt{\frac{\left(x + 2020\right)^{2020}}{\left(x + 2022\right)^{2022}}} \right)}}\right) - p x e^{x} \sqrt[2021]{\log{\left(\sqrt{\frac{\left(x + 2020\right)^{2020}}{\left(x + 2022\right)^{2022}}} \right)}}

Simplificar

Segunda derivada [src]

  /                                                            /                                                               /                                           /                                               2\                                                                                \                                                  \                                                           \   
  |                                                            |                                                               |                                           |         1361480*(2020 + x)   681751*(2020 + x) |                                                                          2     |                                                  |                                                           |   
  |                                                            |                                                               |          /        1011*(2020 + x)\   6063*|679730 - ------------------ + ------------------|           /        1011*(2020 + x)\             /        1011*(2020 + x)\      |                                                  |                                                           |   
  |                                                            |                                                               |  4082420*|-1010 + ---------------|        |              2022 + x                     2    |   4086462*|-1010 + ---------------|        2020*|-1010 + ---------------|      |                                                  |                                                           |   
  |                                                            |                                                               |          \            2022 + x   /        \                                 (2022 + x)     /           \            2022 + x   /             \            2022 + x   /      |                                                  |                                                           |   
  |                                                            |                                                             x*|- --------------------------------- - ------------------------------------------------------- + --------------------------------- + -----------------------------------------|                                                  |                                                           |   
  |                                                            |                                                               |               2020 + x                                       2020 + x                                       2022 + x                             /          1010           \|                                                  |                                                           |   
  |                                                            |                                                               |                                                                                                                                                  |(2020 + x)    *|2022 + x|||                                                  |                                                           |   
  |                                                            |                  ________________________________             |                                                                                                                                    (2020 + x)*log|-------------------------||                     /        1011*(2020 + x)\    |                                                           |   
  |                                                            |                 /    /          1010           \              |                                                                                                                                                  |                1012     ||        4042*(1 + x)*|-1010 + ---------------|    |                                                           |   
  |                                                            |                /     |(2020 + x)    *|2022 + x||              \                                                                                                                                                  \      (2022 + x)         //                     \            2022 + x   /    |                                                           |   
  |                                                          x*|- 4084441*     /   log|-------------------------| *(2 + x) + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -----------------------------------------------|                                                           |   
  |                                                            |          2021/       |                1012     |                                                                                                                        2020                                                                                                               2020|                                                           |   
  |                                                            |            \/        \      (2022 + x)         /                                                                                                                        ----                                                                                                               ----|                                                           |   
  |                                                            |                                                                                                                                                                         2021                                                                                                               2021|                                                           |   
  |                                                            |                                                                                                                                         /   /          1010           \\                                                                                   /   /          1010           \\    |                                                           |   
  |                                                            |                                                                                                                                         |   |(2020 + x)    *|2022 + x|||                                                                                   |   |(2020 + x)    *|2022 + x|||    |                                                           |   
  |                                                            |                                                                                                                              (2020 + x)*|log|-------------------------||                                                                        (2020 + x)*|log|-------------------------||    |                    /        1011*(2020 + x)\              |   
  |           ____________________________________             |                                                                                                                                         |   |                1012     ||                                                                                   |   |                1012     ||    |                2*x*|-1010 + ---------------|              |   
  |          /    /          1010   |2022 + x|  \              \                                                                                                                                         \   \      (2022 + x)         //                                                                                   \   \      (2022 + x)         //    /                    \            2022 + x   /              |  x
p*|- 2*     /  log|(2020 + x)    *--------------| *(1 + x) + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------|*e 
  |    2021/      |                         1012|                                                                                                                                                          4084441                                                                                                                                                                                                      2020|   
  |      \/       \               (2022 + x)    /                                                                                                                                                                                                                                                                                                                                                                       ----|   
  |                                                                                                                                                                                                                                                                                                                                                                                                                     2021|   
  |                                                                                                                                                                                                                                                                                                                                                                                 /   /          1010   |2022 + x|  \\    |   
  |                                                                                                                                                                                                                                                                                                                                                                 2021*(2020 + x)*|log|(2020 + x)    *--------------||    |   
  |                                                                                                                                                                                                                                                                                                                                                                                 |   |                         1012||    |   
  \                                                                                                                                                                                                                                                                                                                                                                                 \   \               (2022 + x)    //    /

p \left(\frac{x \left(\frac{x \left(\frac{4086462 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{x + 2022} + \frac{2020 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)^{2}}{\left(x + 2020\right) \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}} - \frac{4082420 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{x + 2020} - \frac{6063 \left(\frac{681751 \left(x + 2020\right)^{2}}{\left(x + 2022\right)^{2}} - \frac{1361480 \left(x + 2020\right)}{x + 2022} + 679730\right)}{x + 2020}\right)}{\left(x + 2020\right) \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}^{\frac{2020}{2021}}} + \frac{4042 \left(x + 1\right) \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{\left(x + 2020\right) \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}^{\frac{2020}{2021}}} - 4084441 \left(x + 2\right) \sqrt[2021]{\log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}}\right)}{4084441} + \frac{2 x \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{2021 \left(x + 2020\right) \log{\left(\frac{\left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \left(x + 2020\right)^{1010} \right)}^{\frac{2020}{2021}}} - 2 \left(x + 1\right) \sqrt[2021]{\log{\left(\frac{\left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \left(x + 2020\right)^{1010} \right)}}\right) e^{x}

Simplificar

Tercera derivada [src]

  /                                                         /                                                                    /         /                                  2                       3                        \               /                                               2\                                                                                                                                              /                                               2\                                                                                                                                 /                                               2\                                                       \                /                                           /                                               2\                                                                                \                                                  \                                                                                                                                                                                                                                             \   
  |                                                         |                                                                    |         |             1032852765*(2020 + x)    344966006*(2020 + x)    1030810545*(2020 + x)|               |         1361480*(2020 + x)   681751*(2020 + x) |                                                                                                                                              |         1361480*(2020 + x)   681751*(2020 + x) |                                          2                                           3                /        1011*(2020 + x)\ |         1361480*(2020 + x)   681751*(2020 + x) |                                               2       |                |                                           |         1361480*(2020 + x)   681751*(2020 + x) |                                                                          2     |                                                  |                                                                                                                                                                                                                                             |   
  |                                                         |                                                                    |24506646*|-342923785 - ---------------------- + --------------------- + ---------------------|   24751712460*|679730 - ------------------ + ------------------|                 /        1011*(2020 + x)\                 /        1011*(2020 + x)\                  /        1011*(2020 + x)\   24776219106*|679730 - ------------------ + ------------------|                 /        1011*(2020 + x)\                   /        1011*(2020 + x)\        18370890*|-1010 + ---------------|*|679730 - ------------------ + ------------------|                      /        1011*(2020 + x)\        |                |          /        1011*(2020 + x)\   6063*|679730 - ------------------ + ------------------|           /        1011*(2020 + x)\             /        1011*(2020 + x)\      |                                                  |                                                                                                                                                                                                                                             |   
  |                                                         |                                                                    |         |                            2                        3               2022 + x      |               |              2022 + x                     2    |   8337201813610*|-1010 + ---------------|   8345456468871*|-1010 + ---------------|   16682654198040*|-1010 + ---------------|               |              2022 + x                     2    |     12369732600*|-1010 + ---------------|           4081410*|-1010 + ---------------|                 \            2022 + x   / |              2022 + x                     2    |          12381979860*|-1010 + ---------------|        |                |  4082420*|-1010 + ---------------|        |              2022 + x                     2    |   4086462*|-1010 + ---------------|        2020*|-1010 + ---------------|      |                                                  |                                                                                                                                                                                                                                             |   
  |                                                         |                                                                    |         \                  (2022 + x)               (2022 + x)                              /               \                                 (2022 + x)     /                 \            2022 + x   /                 \            2022 + x   /                  \            2022 + x   /               \                                 (2022 + x)     /                 \            2022 + x   /                   \            2022 + x   /                                           \                                 (2022 + x)     /                      \            2022 + x   /        |                |          \            2022 + x   /        \                                 (2022 + x)     /           \            2022 + x   /             \            2022 + x   /      |                                                  |                                                                                                                                                                                                                                             |   
  |                                                         |                                                                2*x*|---------------------------------------------------------------------------------------------- + -------------------------------------------------------------- + --------------------------------------- + --------------------------------------- - ---------------------------------------- - -------------------------------------------------------------- - ------------------------------------------ + ------------------------------------------- - ------------------------------------------------------------------------------------- + ----------------------------------------------------|   6063*(1 + x)*|- --------------------------------- - ------------------------------------------------------- + --------------------------------- + -----------------------------------------|                                                  |                                                                                                                                                                                                                                             |   
  |                                                         |                                                                    |                                                   2                                                                                2                                                     2                                         2                          (2020 + x)*(2022 + x)                                 (2020 + x)*(2022 + x)                                       /          1010           \                   /          1010           \                                        /          1010           \                                                 /          1010           \|                |               2020 + x                                       2020 + x                                       2022 + x                             /          1010           \|                                                  |                                                                                                                                                                                                                                             |   
  |                                                         |                                                                    |                                         (2020 + x)                                                                       (2020 + x)                                            (2020 + x)                                (2022 + x)                                                                                                                                        2    |(2020 + x)    *|2022 + x||             2    2|(2020 + x)    *|2022 + x||                                   2    |(2020 + x)    *|2022 + x||                                                 |(2020 + x)    *|2022 + x|||                |                                                                                                                                                  |(2020 + x)    *|2022 + x|||                                                  |                                                                                                                                                                                                                                             |   
  |                                                         |                     ________________________________               |                                                                                                                                                                                                                                                                                                                                                                  (2020 + x) *log|-------------------------|   (2020 + x) *log |-------------------------|                         (2020 + x) *log|-------------------------|                        (2020 + x)*(2022 + x)*log|-------------------------||                |                                                                                                                                    (2020 + x)*log|-------------------------||               /        1011*(2020 + x)\          |                                                                                                                                                                                                                                             |   
  |                                                         |                    /    /          1010           \                |                                                                                                                                                                                                                                                                                                                                                                                 |                1012     |                   |                1012     |                                        |                1012     |                                                 |                1012     ||                |                                                                                                                                                  |                1012     ||      12253323*|-1010 + ---------------|*(2 + x)  |       /                                           /                                               2\                                                                                \                                                       |   
  |                                                         |                   /     |(2020 + x)    *|2022 + x||                \                                                                                                                                                                                                                                                                                                                                                                                 \      (2022 + x)         /                   \      (2022 + x)         /                                        \      (2022 + x)         /                                                 \      (2022 + x)         //                \                                                                                                                                                  \      (2022 + x)         //               \            2022 + x   /          |       |                                           |         1361480*(2020 + x)   681751*(2020 + x) |                                                                          2     |                                                       |   
  |                                                       x*|- 8254655261*     /   log|-------------------------| *(3 + x) + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -----------------------------------------------|       |          /        1011*(2020 + x)\   6063*|679730 - ------------------ + ------------------|           /        1011*(2020 + x)\             /        1011*(2020 + x)\      |                                                       |   
  |                                                         |             2021/       |                1012     |                                                                                                                                                                                                                                                                                                                                       2020                                                                                                                                                                                                                                                                                                                                                                                                    2020                                                                                                                     2020|       |  4082420*|-1010 + ---------------|        |              2022 + x                     2    |   4086462*|-1010 + ---------------|        2020*|-1010 + ---------------|      |                                                       |   
  |                                                         |               \/        \      (2022 + x)         /                                                                                                                                                                                                                                                                                                                                       ----                                                                                                                                                                                                                                                                                                                                                                                                    ----                                                                                                                     ----|       |          \            2022 + x   /        \                                 (2022 + x)     /           \            2022 + x   /             \            2022 + x   /      |                                                       |   
  |                                                         |                                                                                                                                                                                                                                                                                                                                                                                           2021                                                                                                                                                                                                                                                                                                                                                                                                    2021                                                                                                                     2021|   3*x*|- --------------------------------- - ------------------------------------------------------- + --------------------------------- + -----------------------------------------|                                                       |   
  |                                                         |                                                                                                                                                                                                                                                                                                                                                           /   /          1010           \\                                                                                                                                                                                                                                                                                                                                                                        /   /          1010           \\                                                                                         /   /          1010           \\    |       |               2020 + x                                       2020 + x                                       2022 + x                             /          1010           \|                                                       |   
  |                                                         |                                                                                                                                                                                                                                                                                                                                                           |   |(2020 + x)    *|2022 + x|||                                                                                                                                                                                                                                                                                                                                                                        |   |(2020 + x)    *|2022 + x|||                                                                                         |   |(2020 + x)    *|2022 + x|||    |       |                                                                                                                                                  |(2020 + x)    *|2022 + x|||                                                       |   
  |            ________________________________             |                                                                                                                                                                                                                                                                                                                                                (2020 + x)*|log|-------------------------||                                                                                                                                                                                                                                                                                                                                                             (2020 + x)*|log|-------------------------||                                                                              (2020 + x)*|log|-------------------------||    |       |                                                                                                                                    (2020 + x)*log|-------------------------||                     /        1011*(2020 + x)\         |   
  |           /    /          1010           \              |                                                                                                                                                                                                                                                                                                                                                           |   |                1012     ||                                                                                                                                                                                                                                                                                                                                                                        |   |                1012     ||                                                                                         |   |                1012     ||    |       |                                                                                                                                                  |                1012     ||           6*(1 + x)*|-1010 + ---------------|         |   
  |          /     |(2020 + x)    *|2022 + x||              \                                                                                                                                                                                                                                                                                                                                                           \   \      (2022 + x)         //                                                                                                                                                                                                                                                                                                                                                                        \   \      (2022 + x)         //                                                                                         \   \      (2022 + x)         //    /       \                                                                                                                                                  \      (2022 + x)         //                     \            2022 + x   /         |  x
p*|- 3*     /   log|-------------------------| *(2 + x) + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------|*e 
  |    2021/       |                1012     |                                                                                                                                                                                                                                                                                                                                                                                                                                                                         8254655261                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 2020                                                                                                                 2020|   
  |      \/        \      (2022 + x)         /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ----                                                                                                                 ----|   
  |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               2021                                                                                                                 2021|   
  |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               /   /          1010           \\                                                                                     /   /          1010           \\    |   
  |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               |   |(2020 + x)    *|2022 + x|||                                                                                     |   |(2020 + x)    *|2022 + x|||    |   
  |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            4084441*(2020 + x)*|log|-------------------------||                                                                     2021*(2020 + x)*|log|-------------------------||    |   
  |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               |   |                1012     ||                                                                                     |   |                1012     ||    |   
  \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               \   \      (2022 + x)         //                                                                                     \   \      (2022 + x)         //    /

p \left(\frac{x \left(\frac{2 x \left(\frac{8345456468871 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{\left(x + 2022\right)^{2}} + \frac{12381979860 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)^{2}}{\left(x + 2020\right) \left(x + 2022\right) \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}} - \frac{16682654198040 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{\left(x + 2020\right) \left(x + 2022\right)} - \frac{24776219106 \left(\frac{681751 \left(x + 2020\right)^{2}}{\left(x + 2022\right)^{2}} - \frac{1361480 \left(x + 2020\right)}{x + 2022} + 679730\right)}{\left(x + 2020\right) \left(x + 2022\right)} + \frac{4081410 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)^{3}}{\left(x + 2020\right)^{2} \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}^{2}} - \frac{12369732600 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)^{2}}{\left(x + 2020\right)^{2} \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}} - \frac{18370890 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right) \left(\frac{681751 \left(x + 2020\right)^{2}}{\left(x + 2022\right)^{2}} - \frac{1361480 \left(x + 2020\right)}{x + 2022} + 679730\right)}{\left(x + 2020\right)^{2} \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}} + \frac{8337201813610 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{\left(x + 2020\right)^{2}} + \frac{24751712460 \left(\frac{681751 \left(x + 2020\right)^{2}}{\left(x + 2022\right)^{2}} - \frac{1361480 \left(x + 2020\right)}{x + 2022} + 679730\right)}{\left(x + 2020\right)^{2}} + \frac{24506646 \left(\frac{344966006 \left(x + 2020\right)^{3}}{\left(x + 2022\right)^{3}} - \frac{1032852765 \left(x + 2020\right)^{2}}{\left(x + 2022\right)^{2}} + \frac{1030810545 \left(x + 2020\right)}{x + 2022} - 342923785\right)}{\left(x + 2020\right)^{2}}\right)}{\left(x + 2020\right) \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}^{\frac{2020}{2021}}} + \frac{6063 \left(x + 1\right) \left(\frac{4086462 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{x + 2022} + \frac{2020 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)^{2}}{\left(x + 2020\right) \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}} - \frac{4082420 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{x + 2020} - \frac{6063 \left(\frac{681751 \left(x + 2020\right)^{2}}{\left(x + 2022\right)^{2}} - \frac{1361480 \left(x + 2020\right)}{x + 2022} + 679730\right)}{x + 2020}\right)}{\left(x + 2020\right) \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}^{\frac{2020}{2021}}} + \frac{12253323 \left(x + 2\right) \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{\left(x + 2020\right) \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}^{\frac{2020}{2021}}} - 8254655261 \left(x + 3\right) \sqrt[2021]{\log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}}\right)}{8254655261} + \frac{3 x \left(\frac{4086462 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{x + 2022} + \frac{2020 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)^{2}}{\left(x + 2020\right) \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}} - \frac{4082420 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{x + 2020} - \frac{6063 \left(\frac{681751 \left(x + 2020\right)^{2}}{\left(x + 2022\right)^{2}} - \frac{1361480 \left(x + 2020\right)}{x + 2022} + 679730\right)}{x + 2020}\right)}{4084441 \left(x + 2020\right) \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}^{\frac{2020}{2021}}} + \frac{6 \left(x + 1\right) \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{2021 \left(x + 2020\right) \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}^{\frac{2020}{2021}}} - 3 \left(x + 2\right) \sqrt[2021]{\log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}}\right) e^{x}

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Derivada de x*exln(sqrt((x+2020)^(2020)/(x+2022)^(2022)))^(1/2021)p(-x)

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