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  • Derivada de:
  • Derivada de 4-x² Derivada de 4-x²
  • Derivada de 3^(1/x) Derivada de 3^(1/x)
  • Derivada de 2*x+8/x Derivada de 2*x+8/x
  • Derivada de (-1)/x-3*x Derivada de (-1)/x-3*x

  • Expresiones idénticas

  • x*exp((((((dos x+ uno)^ tres)*(tres ^x)*(sin^ dos (x)))/(((3x-2)^ cuatro)*(x^(cuatro / siete))))^(uno / cinco))*(cinco *(e^x))-x)
  • x multiplicar por exponente de ((((((2x más 1) al cubo ) multiplicar por (3 en el grado x) multiplicar por ( seno de al cuadrado (x))) dividir por (((3x menos 2) en el grado 4) multiplicar por (x en el grado (4 dividir por 7)))) en el grado (1 dividir por 5)) multiplicar por (5 multiplicar por (e en el grado x)) menos x)
  • x multiplicar por exponente de ((((((dos x más uno) en el grado tres) multiplicar por (tres en el grado x) multiplicar por ( seno de en el grado dos (x))) dividir por (((3x menos 2) en el grado cuatro) multiplicar por (x en el grado (cuatro dividir por siete)))) en el grado (uno dividir por cinco)) multiplicar por (cinco multiplicar por (e en el grado x)) menos x)
  • x*exp((((((2x+1)3)*(3x)*(sin2(x)))/(((3x-2)4)*(x(4/7))))(1/5))*(5*(ex))-x)
  • x*exp2x+13*3x*sin2x/3x-24*x4/71/5*5*ex-x
  • x*exp((((((2x+1)³)*(3^x)*(sin²(x)))/(((3x-2)⁴)*(x^(4/7))))^(1/5))*(5*(e^x))-x)
  • x*exp((((((2x+1) en el grado 3)*(3 en el grado x)*(sin en el grado 2(x)))/(((3x-2) en el grado 4)*(x en el grado (4/7)))) en el grado (1/5))*(5*(e en el grado x))-x)
  • xexp((((((2x+1)^3)(3^x)(sin^2(x)))/(((3x-2)^4)(x^(4/7))))^(1/5))(5(e^x))-x)
  • xexp((((((2x+1)3)(3x)(sin2(x)))/(((3x-2)4)(x(4/7))))(1/5))(5(ex))-x)
  • xexp2x+133xsin2x/3x-24x4/71/55ex-x
  • xexp2x+1^33^xsin^2x/3x-2^4x^4/7^1/55e^x-x
  • x*exp((((((2x+1)^3)*(3^x)*(sin^2(x))) dividir por (((3x-2)^4)*(x^(4 dividir por 7))))^(1 dividir por 5))*(5*(e^x))-x)

  • Expresiones semejantes

  • x*exp((((((2x+1)^3)*(3^x)*(sin^2(x)))/(((3x+2)^4)*(x^(4/7))))^(1/5))*(5*(e^x))-x)
  • x*exp((((((2x-1)^3)*(3^x)*(sin^2(x)))/(((3x-2)^4)*(x^(4/7))))^(1/5))*(5*(e^x))-x)
  • x*exp((((((2x+1)^3)*(3^x)*(sin^2(x)))/(((3x-2)^4)*(x^(4/7))))^(1/5))*(5*(e^x))+x)

  • Expresiones con funciones

  • Seno sin
  • sin(x^2+3)
  • sin(x^2+2x)
  • sin(4*x+pi/6)+4*x
  • sin(x-1)
  • sin(cos(3*x))^(2)
Derivada de la función/ x*exp((((((2x+1)^3)*(3^x)*(sin^2(x)))/(((3x-2)^4)*(x^(4/7))))^(1/5))*(5*(e^x))-x)

Derivada de x*exp((((((2x+1)^3)*(3^x)*(sin^2(x)))/(((3x-2)^4)*(x^(4/7))))^(1/5))*(5*(e^x))-x)

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
         _______________________         
        /          3  x    2             
       /  (2*x + 1) *3 *sin (x)     x    
      /   --------------------- *5*E  - x
   5 /                4  4/7             
   \/        (3*x - 2) *x                
x*e
xe5ex3x(2x+1)3sin⁡2(x)x47(3x−2)45−xx e^{5 e^{x} \sqrt[5]{\frac{3^{x} \left(2 x + 1\right)^{3} \sin^{2}{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)^{4}}} - x} 
x*exp(((((2*x + 1)^3*3^x)*sin(x)^2)/(((3*x - 2)^4*x^(4/7))))^(1/5)*(5*E^x) - x)
Primera derivada [src] 
  /                                                                                                                      /                                                                                                                           /                                  4\\   \                                                                                  
  |                                                                                                                      |       1        /   2    /   x          2    x          3       \      x          3              \    x          3    2    |      4/7          3   4*(3*x - 2) ||   |                                                                                  
  |                                                                                x       _________________             |---------------*\sin (x)*\6*3 *(2*x + 1)  + 3 *(2*x + 1) *log(3)/ + 2*3 *(2*x + 1) *cos(x)*sin(x)/   3 *(2*x + 1) *sin (x)*|- 12*x   *(3*x - 2)  - ------------||   |        _______________________                   _______________________         
  |                                                                                -      /             3                | 4/7          4                                                                                                            |                             3/7   ||   |       /          3  x    2                      /          3  x    2             
  |                                                            -x  4/7          4  5     /     (2*x + 1)             2/5 |x   *(3*x - 2)                                                                                                             \                          7*x      /|  x|      /  (2*x + 1) *3 *sin (x)     x            /  (2*x + 1) *3 *sin (x)     x    
  |                                                         5*3  *x   *(3*x - 2) *3 *   /   --------------- *|sin(x)|   *|-------------------------------------------------------------------------------------------------- + -----------------------------------------------------------|*e |     /   --------------------- *5*E  - x       /   --------------------- *5*E  - x
  |            _______________________________________                               5 /     4/7          4              |                                                5                                                                            8/7          8                     |   |  5 /                4  4/7                 5 /                4  4/7             
  |           /  x          3    2           1          x                            \/     x   *(3*x - 2)               \                                                                                                                          5*x   *(3*x - 2)                      /   |  \/        (3*x - 2) *x                    \/        (3*x - 2) *x                
x*|-1 + 5*   /  3 *(2*x + 1) *sin (x)*--------------- *e  + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*e                                       + e                                      
  |       5 /                          4/7          4                                                                                                                        3    2                                                                                                           |                                                                                  
  \       \/                          x   *(3*x - 2)                                                                                                                (2*x + 1) *sin (x)                                                                                                        /
x(53x1x47(3x−2)4(2x+1)3sin⁡2(x)5ex−1+5⋅3−xx47⋅3x5(2x+1)3x47(3x−2)45∣sin⁡(x)∣25(3x−2)4(3x(2x+1)3(−12x47(3x−2)3−4(3x−2)47x37)sin⁡2(x)5x87(3x−2)8+1x47(3x−2)4(2⋅3x(2x+1)3sin⁡(x)cos⁡(x)+(3x(2x+1)3log⁡(3)+6⋅3x(2x+1)2)sin⁡2(x))5)ex(2x+1)3sin⁡2(x))e5ex3x(2x+1)3sin⁡2(x)x47(3x−2)45−x+e5ex3x(2x+1)3sin⁡2(x)x47(3x−2)45−xx \left(5 \sqrt[5]{3^{x} \frac{1}{x^{\frac{4}{7}} \left(3 x - 2\right)^{4}} \left(2 x + 1\right)^{3} \sin^{2}{\left(x \right)}} e^{x} - 1 + \frac{5 \cdot 3^{- x} x^{\frac{4}{7}} \cdot 3^{\frac{x}{5}} \sqrt[5]{\frac{\left(2 x + 1\right)^{3}}{x^{\frac{4}{7}} \left(3 x - 2\right)^{4}}} \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}} \left(3 x - 2\right)^{4} \left(\frac{3^{x} \left(2 x + 1\right)^{3} \left(- 12 x^{\frac{4}{7}} \left(3 x - 2\right)^{3} - \frac{4 \left(3 x - 2\right)^{4}}{7 x^{\frac{3}{7}}}\right) \sin^{2}{\left(x \right)}}{5 x^{\frac{8}{7}} \left(3 x - 2\right)^{8}} + \frac{\frac{1}{x^{\frac{4}{7}} \left(3 x - 2\right)^{4}} \left(2 \cdot 3^{x} \left(2 x + 1\right)^{3} \sin{\left(x \right)} \cos{\left(x \right)} + \left(3^{x} \left(2 x + 1\right)^{3} \log{\left(3 \right)} + 6 \cdot 3^{x} \left(2 x + 1\right)^{2}\right) \sin^{2}{\left(x \right)}\right)}{5}\right) e^{x}}{\left(2 x + 1\right)^{3} \sin^{2}{\left(x \right)}}\right) e^{5 e^{x} \sqrt[5]{\frac{3^{x} \left(2 x + 1\right)^{3} \sin^{2}{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)^{4}}} - x} + e^{5 e^{x} \sqrt[5]{\frac{3^{x} \left(2 x + 1\right)^{3} \sin^{2}{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)^{4}}} - x}
Simplificar
Segunda derivada [src] 
/       /                                                                                                                                                                                                     2                               /                                                                                                                                                                                                                                                                                                                                                            /                                                                                                                                                                                                                                                                                                                                                                                                   /                     2                \                                                                                                                                                                                                  \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 \   \                                                                                                                                                                                                  \                                                   
|       |  /                                                                                             /                                                                    /    4/7   -2 + 3*x\       \   \                                |                                                                                                                      /                                                                    /    4/7   -2 + 3*x\       \                   /                                                                    /    4/7   -2 + 3*x\       \                 |                                                                                                                                                                                                                                                                                                                                       2              /    4/7   -2 + 3*x\               2    2    |     4/7   (-2 + 3*x)    56*(-2 + 3*x)|               2    2    /    4/7   -2 + 3*x\                2    2    /    4/7   -2 + 3*x\               2 /    4/7   -2 + 3*x\                             2    2    /    4/7   -2 + 3*x\       |                  /                                                                    /    4/7   -2 + 3*x\       \                                                                                                                                     /                                                                    /    4/7   -2 + 3*x\       \                         /                                                                    /    4/7   -2 + 3*x\       \                         /                                                                    /    4/7   -2 + 3*x\       \                   /                                                                    /    4/7   -2 + 3*x\       \|   |                                                                                                                                                                                                  |                                                   
|       |  |                                                      x       __________________             |                                                        4*(1 + 2*x)*|21*x    + --------|*sin(x)|   |                                |                   /                                 2/5 /      2*(1 + 2*x)   42*(1 + 2*x)\                         \ |                                                        4*(1 + 2*x)*|21*x    + --------|*sin(x)|                   |                                                        4*(1 + 2*x)*|21*x    + --------|*sin(x)|                 |                                                                                                                                                                                                                                                                                                                                168*sin (x)*(1 + 2*x)*|21*x    + --------|   12*(1 + 2*x) *sin (x)*|441*x    - ----------- + -------------|   32*(1 + 2*x) *sin (x)*|21*x    + --------|   672*(1 + 2*x) *sin (x)*|21*x    + --------|   56*(1 + 2*x) *|21*x    + --------|*cos(x)*sin(x)   28*(1 + 2*x) *sin (x)*|21*x    + --------|*log(3)|                  |                                                        4*(1 + 2*x)*|21*x    + --------|*sin(x)|                                                                                                                                     |                                                        4*(1 + 2*x)*|21*x    + --------|*sin(x)|                         |                                                        4*(1 + 2*x)*|21*x    + --------|*sin(x)|                         |                                                        4*(1 + 2*x)*|21*x    + --------|*sin(x)|                   |                                                        4*(1 + 2*x)*|21*x    + --------|*sin(x)||   |                                                                                                                                                                                                  |                                                   
|       |  |                                                      -      /             3                 |                                                                    |             3/7  |       |   |                                |                   |                       2*|sin(x)|   *|-21 + ----------- + ------------|                         | |                                                                    |             3/7  |       |                   |                                                                    |             3/7  |       |                 |                                                                                                                                                                                                                                                                                                                                                      |             3/7  |                         |               10/7            3/7    |                         |             3/7  |                          |             3/7  |                 |             3/7  |                                       |             3/7  |       |                  |                                                                    |             3/7  |       |                                                                                                                                     |                                                                    |             3/7  |       |                         |                                                                    |             3/7  |       |                         |                                                                    |             3/7  |       |                   |                                                                    |             3/7  |       ||   |                                                                                                                                                                                                  |                                                   
|       |  |                                                      5     /     (1 + 2*x)              2/5 |                                                                    \            x     /       |  x|                                |                   |          2/5                        \           x          -2 + 3*x  /   14*cos(x)*sign(sin(x))| |                                                                    \            x     /       |               2/5 |                                                                    \            x     /       |             2/5 |              2    2            2    /              2    2                         \               2    2                                                 /1      21   \                                                                           2                                                                                                  \            x     /                         \              x               x       /                         \            x     /                          \            x     /                 \            x     /                                       \            x     /       |              2/5 |                                                                    \            x     /       |                                                                                                                                 2/5 |                                                                    \            x     /       |                     2/5 |                                                                    \            x     /       |                     2/5 |                                                                    \            x     /       |               2/5 |                                                                    \            x     /       ||   |                                                                                             /                                                                     /    4/7   -2 + 3*x\       \   |                                                   
|       |  |         x       __________________                  3 *   /   ---------------- *|sin(x)|   *|7*(6 + (1 + 2*x)*log(3))*sin(x) + 14*(1 + 2*x)*cos(x) - ---------------------------------------|*e |     x       __________________ |                   |7*|sin(x)|   *log(3) - ------------------------------------------------ + ----------------------|*|7*(6 + (1 + 2*x)*log(3))*sin(x) + 14*(1 + 2*x)*cos(x) - ---------------------------------------|   210*|sin(x)|   *|7*(6 + (1 + 2*x)*log(3))*sin(x) + 14*(1 + 2*x)*cos(x) - ---------------------------------------|   5*|sin(x)|   *|- 98*(1 + 2*x) *sin (x) + 49*sin (x)*\24 + (1 + 2*x) *log (3) + 12*(1 + 2*x)*log(3)/ + 98*(1 + 2*x) *cos (x) + 588*(1 + 2*x)*cos(x)*sin(x) - 28*(1 + 2*x)*|- + --------|*((6 + (1 + 2*x)*log(3))*sin(x) + 2*(1 + 2*x)*cos(x))*sin(x) + 98*(1 + 2*x) *cos(x)*log(3)*sin(x) + 98*(1 + 2*x)*(6 + (1 + 2*x)*log(3))*cos(x)*sin(x) - ------------------------------------------ - -------------------------------------------------------------- + ------------------------------------------ + ------------------------------------------- - ------------------------------------------------ - -------------------------------------------------|   35*|sin(x)|   *|7*(6 + (1 + 2*x)*log(3))*sin(x) + 14*(1 + 2*x)*cos(x) - ---------------------------------------|              2/5 /                                              /1      21   \                                   \   70*|sin(x)|   *|7*(6 + (1 + 2*x)*log(3))*sin(x) + 14*(1 + 2*x)*cos(x) - ---------------------------------------|*cos(x)   35*|sin(x)|   *|7*(6 + (1 + 2*x)*log(3))*sin(x) + 14*(1 + 2*x)*cos(x) - ---------------------------------------|*log(3)   20*|sin(x)|   *|7*(6 + (1 + 2*x)*log(3))*sin(x) + 14*(1 + 2*x)*cos(x) - ---------------------------------------|   420*|sin(x)|   *|7*(6 + (1 + 2*x)*log(3))*sin(x) + 14*(1 + 2*x)*cos(x) - ---------------------------------------||   |                                                      x       __________________             |                                                         4*(1 + 2*x)*|21*x    + --------|*sin(x)|   |          x       __________________               
|       |  |         -      /             3                         5 /     4/7           4              |                                                                     4/7                       |   |     -      /             3     |                   |                                           1 + 2*x                                     3/5      | |                                                                     4/7                       |                   |                                                                     4/7                       |                 |                                                                                                                                                          \x   -2 + 3*x/                                                                                                                                                                      4/7                                                    4/7           2                                        11/7                                          4/7           2                                 4/7                                                 4/7                            |                  |                                                                     4/7                       |   35*|sin(x)|   *|42*sin(x) + 14*(1 + 2*x)*cos(x) - 4*(1 + 2*x)*|- + --------|*sin(x) + 7*(1 + 2*x)*log(3)*sin(x)|                  |                                                                     4/7                       |                         |                                                                     4/7                       |                         |                                                                     4/7                       |                   |                                                                     4/7                       ||   |                                                      -      /             3                 |                                                                     |             3/7  |       |   |          -      /             3                   
|       |  |         5     /     (1 + 2*x)              2/5  x      \/     x   *(-2 + 3*x)               \                                                                    x   *(-2 + 3*x)            /   |     5     /     (1 + 2*x)      |             2/5   \                                                                               |sin(x)|         / \                                                                    x   *(-2 + 3*x)            /                   \                                                                    x   *(-2 + 3*x)            /                 \                                                                                                                                                                                                                                                                                                                                             x   *(-2 + 3*x)                                        x   *(-2 + 3*x)                                        x    *(-2 + 3*x)                              x   *(-2 + 3*x)                                 x   *(-2 + 3*x)                                     x   *(-2 + 3*x)                 /                  \                                                                    x   *(-2 + 3*x)            /                  \                                              \x   -2 + 3*x/                                   /                  \                                                                    x   *(-2 + 3*x)            /                         \                                                                    x   *(-2 + 3*x)            /                         \                                                                    x   *(-2 + 3*x)            /                   \                                                                    x   *(-2 + 3*x)            /|  x|                                                      5     /     (1 + 2*x)              2/5 |                                                                     \            x     /       |  x|          5     /     (1 + 2*x)              2/5  x
|     x*|5*|-7 + 35*3 *   /   ---------------- *|sin(x)|   *e  + --------------------------------------------------------------------------------------------------------------------------------------------|  + 3 *   /   ---------------- *|1225*|sin(x)|    + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------|*e |       x       __________________                  2*3 *   /   ---------------- *|sin(x)|   *|-14*(1 + 2*x)*cos(x) - 7*(6 + (1 + 2*x)*log(3))*sin(x) + ---------------------------------------|*e |  -x + 5*3 *   /   ---------------- *|sin(x)|   *e 
|       |  |           5 /     4/7           4                                                                                 (1 + 2*x)*sin(x)                                                              |       5 /     4/7           4  |                                                                                                             (1 + 2*x)*sin(x)                                                                                                                                                      2                                                                                                                                                                                                                                                                                                                                                                                         2    2                                                                                                                                                                                                                                                                                                                                                                           (1 + 2*x)*sin(x)                                                                                                   (1 + 2*x)*sin(x)                                                                                                                   2                                                                                                             (1 + 2*x)*sin(x)                                                                                                     x*(1 + 2*x)*sin(x)                                                                                             (1 + 2*x)*(-2 + 3*x)*sin(x)                                           |   |       -      /             3                           5 /     4/7           4              |                                                                      4/7                       |   |            5 /     4/7           4                
|       \  \           \/     x   *(-2 + 3*x)                                                                                                                                                                /       \/     x   *(-2 + 3*x)   \                                                                                                                                                                                                                                                                          (1 + 2*x) *sin(x)                                                                                                                                                                                                                                                                                                                                                                         (1 + 2*x) *sin (x)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 (1 + 2*x)*sin (x)                                                                                                                                                                                                                                                                                                                                                                                                                    /   /       5     /     (1 + 2*x)              2/5  x        \/     x   *(-2 + 3*x)               \                                                                     x   *(-2 + 3*x)            /   |            \/     x   *(-2 + 3*x)                 
|-2 + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + 10*3 *   /   ---------------- *|sin(x)|   *e  - -----------------------------------------------------------------------------------------------------------------------------------------------|*e                                                 
|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                245                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     5 /     4/7           4                                                                                  7*(1 + 2*x)*sin(x)                                                              |                                                   
\                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        \/     x   *(-2 + 3*x)                                                                                                                                                                   /
(10⋅3x5(2x+1)3x47(3x−2)45ex∣sin⁡(x)∣25−2⋅3x5(2x+1)3x47(3x−2)45(−14(2x+1)cos⁡(x)−7((2x+1)log⁡(3)+6)sin⁡(x)+4(21x47+3x−2x37)(2x+1)sin⁡(x)x47(3x−2))ex∣sin⁡(x)∣257(2x+1)sin⁡(x)+x(3x5(2x+1)3x47(3x−2)45(1225∣sin⁡(x)∣25+(14(2x+1)cos⁡(x)+7((2x+1)log⁡(3)+6)sin⁡(x)−4(21x47+3x−2x37)(2x+1)sin⁡(x)x47(3x−2))(14cos⁡(x)sign⁡(sin⁡(x))∣sin⁡(x)∣35+7log⁡(3)∣sin⁡(x)∣25−2(42(2x+1)3x−2−21+2(2x+1)x)∣sin⁡(x)∣252x+1)(2x+1)sin⁡(x)−35(14(2x+1)cos⁡(x)+7((2x+1)log⁡(3)+6)sin⁡(x)−4(21x47+3x−2x37)(2x+1)sin⁡(x)x47(3x−2))log⁡(3)∣sin⁡(x)∣25(2x+1)sin⁡(x)+35(14(2x+1)cos⁡(x)+7((2x+1)log⁡(3)+6)sin⁡(x)−4(21x47+3x−2x37)(2x+1)sin⁡(x)x47(3x−2))∣sin⁡(x)∣25(2x+1)sin⁡(x)−70(14(2x+1)cos⁡(x)+7((2x+1)log⁡(3)+6)sin⁡(x)−4(21x47+3x−2x37)(2x+1)sin⁡(x)x47(3x−2))cos⁡(x)∣sin⁡(x)∣25(2x+1)sin⁡2(x)+35(−4(2x+1)(213x−2+1x)sin⁡(x)+7(2x+1)log⁡(3)sin⁡(x)+14(2x+1)cos⁡(x)+42sin⁡(x))∣sin⁡(x)∣25(2x+1)sin⁡(x)+420(14(2x+1)cos⁡(x)+7((2x+1)log⁡(3)+6)sin⁡(x)−4(21x47+3x−2x37)(2x+1)sin⁡(x)x47(3x−2))∣sin⁡(x)∣25(2x+1)(3x−2)sin⁡(x)−210(14(2x+1)cos⁡(x)+7((2x+1)log⁡(3)+6)sin⁡(x)−4(21x47+3x−2x37)(2x+1)sin⁡(x)x47(3x−2))∣sin⁡(x)∣25(2x+1)2sin⁡(x)+5(−98(2x+1)2sin⁡2(x)+98(2x+1)2log⁡(3)sin⁡(x)cos⁡(x)+98(2x+1)2cos⁡2(x)+98(2x+1)((2x+1)log⁡(3)+6)sin⁡(x)cos⁡(x)−28(2x+1)(2(2x+1)cos⁡(x)+((2x+1)log⁡(3)+6)sin⁡(x))(213x−2+1x)sin⁡(x)+588(2x+1)sin⁡(x)cos⁡(x)+49((2x+1)2log⁡(3)2+12(2x+1)log⁡(3)+24)sin⁡2(x)−28(21x47+3x−2x37)(2x+1)2log⁡(3)sin⁡2(x)x47(3x−2)−56(21x47+3x−2x37)(2x+1)2sin⁡(x)cos⁡(x)x47(3x−2)+672(21x47+3x−2x37)(2x+1)2sin⁡2(x)x47(3x−2)2−168(21x47+3x−2x37)(2x+1)sin⁡2(x)x47(3x−2)−12(2x+1)2(441x47+56(3x−2)x37−(3x−2)2x107)sin⁡2(x)x47(3x−2)2+32(21x47+3x−2x37)(2x+1)2sin⁡2(x)x117(3x−2))∣sin⁡(x)∣25(2x+1)2sin⁡2(x)+20(14(2x+1)cos⁡(x)+7((2x+1)log⁡(3)+6)sin⁡(x)−4(21x47+3x−2x37)(2x+1)sin⁡(x)x47(3x−2))∣sin⁡(x)∣25x(2x+1)sin⁡(x))ex+5(35⋅3x5(2x+1)3x47(3x−2)45ex∣sin⁡(x)∣25+3x5(2x+1)3x47(3x−2)45(14(2x+1)cos⁡(x)+7((2x+1)log⁡(3)+6)sin⁡(x)−4(21x47+3x−2x37)(2x+1)sin⁡(x)x47(3x−2))ex∣sin⁡(x)∣25(2x+1)sin⁡(x)−7)2)245−2)e5⋅3x5(2x+1)3x47(3x−2)45ex∣sin⁡(x)∣25−x\left(10 \cdot 3^{\frac{x}{5}} \sqrt[5]{\frac{\left(2 x + 1\right)^{3}}{x^{\frac{4}{7}} \left(3 x - 2\right)^{4}}} e^{x} \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}} - \frac{2 \cdot 3^{\frac{x}{5}} \sqrt[5]{\frac{\left(2 x + 1\right)^{3}}{x^{\frac{4}{7}} \left(3 x - 2\right)^{4}}} \left(- 14 \left(2 x + 1\right) \cos{\left(x \right)} - 7 \left(\left(2 x + 1\right) \log{\left(3 \right)} + 6\right) \sin{\left(x \right)} + \frac{4 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right) \sin{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)}\right) e^{x} \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}}}{7 \left(2 x + 1\right) \sin{\left(x \right)}} + \frac{x \left(3^{\frac{x}{5}} \sqrt[5]{\frac{\left(2 x + 1\right)^{3}}{x^{\frac{4}{7}} \left(3 x - 2\right)^{4}}} \left(1225 \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}} + \frac{\left(14 \left(2 x + 1\right) \cos{\left(x \right)} + 7 \left(\left(2 x + 1\right) \log{\left(3 \right)} + 6\right) \sin{\left(x \right)} - \frac{4 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right) \sin{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)}\right) \left(\frac{14 \cos{\left(x \right)} \operatorname{sign}{\left(\sin{\left(x \right)} \right)}}{\left|{\sin{\left(x \right)}}\right|^{\frac{3}{5}}} + 7 \log{\left(3 \right)} \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}} - \frac{2 \left(\frac{42 \left(2 x + 1\right)}{3 x - 2} - 21 + \frac{2 \left(2 x + 1\right)}{x}\right) \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}}}{2 x + 1}\right)}{\left(2 x + 1\right) \sin{\left(x \right)}} - \frac{35 \left(14 \left(2 x + 1\right) \cos{\left(x \right)} + 7 \left(\left(2 x + 1\right) \log{\left(3 \right)} + 6\right) \sin{\left(x \right)} - \frac{4 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right) \sin{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)}\right) \log{\left(3 \right)} \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}}}{\left(2 x + 1\right) \sin{\left(x \right)}} + \frac{35 \left(14 \left(2 x + 1\right) \cos{\left(x \right)} + 7 \left(\left(2 x + 1\right) \log{\left(3 \right)} + 6\right) \sin{\left(x \right)} - \frac{4 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right) \sin{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)}\right) \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}}}{\left(2 x + 1\right) \sin{\left(x \right)}} - \frac{70 \left(14 \left(2 x + 1\right) \cos{\left(x \right)} + 7 \left(\left(2 x + 1\right) \log{\left(3 \right)} + 6\right) \sin{\left(x \right)} - \frac{4 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right) \sin{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)}\right) \cos{\left(x \right)} \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}}}{\left(2 x + 1\right) \sin^{2}{\left(x \right)}} + \frac{35 \left(- 4 \left(2 x + 1\right) \left(\frac{21}{3 x - 2} + \frac{1}{x}\right) \sin{\left(x \right)} + 7 \left(2 x + 1\right) \log{\left(3 \right)} \sin{\left(x \right)} + 14 \left(2 x + 1\right) \cos{\left(x \right)} + 42 \sin{\left(x \right)}\right) \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}}}{\left(2 x + 1\right) \sin{\left(x \right)}} + \frac{420 \left(14 \left(2 x + 1\right) \cos{\left(x \right)} + 7 \left(\left(2 x + 1\right) \log{\left(3 \right)} + 6\right) \sin{\left(x \right)} - \frac{4 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right) \sin{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)}\right) \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}}}{\left(2 x + 1\right) \left(3 x - 2\right) \sin{\left(x \right)}} - \frac{210 \left(14 \left(2 x + 1\right) \cos{\left(x \right)} + 7 \left(\left(2 x + 1\right) \log{\left(3 \right)} + 6\right) \sin{\left(x \right)} - \frac{4 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right) \sin{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)}\right) \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}}}{\left(2 x + 1\right)^{2} \sin{\left(x \right)}} + \frac{5 \left(- 98 \left(2 x + 1\right)^{2} \sin^{2}{\left(x \right)} + 98 \left(2 x + 1\right)^{2} \log{\left(3 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 98 \left(2 x + 1\right)^{2} \cos^{2}{\left(x \right)} + 98 \left(2 x + 1\right) \left(\left(2 x + 1\right) \log{\left(3 \right)} + 6\right) \sin{\left(x \right)} \cos{\left(x \right)} - 28 \left(2 x + 1\right) \left(2 \left(2 x + 1\right) \cos{\left(x \right)} + \left(\left(2 x + 1\right) \log{\left(3 \right)} + 6\right) \sin{\left(x \right)}\right) \left(\frac{21}{3 x - 2} + \frac{1}{x}\right) \sin{\left(x \right)} + 588 \left(2 x + 1\right) \sin{\left(x \right)} \cos{\left(x \right)} + 49 \left(\left(2 x + 1\right)^{2} \log{\left(3 \right)}^{2} + 12 \left(2 x + 1\right) \log{\left(3 \right)} + 24\right) \sin^{2}{\left(x \right)} - \frac{28 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right)^{2} \log{\left(3 \right)} \sin^{2}{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)} - \frac{56 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right)^{2} \sin{\left(x \right)} \cos{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)} + \frac{672 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right)^{2} \sin^{2}{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)^{2}} - \frac{168 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right) \sin^{2}{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)} - \frac{12 \left(2 x + 1\right)^{2} \left(441 x^{\frac{4}{7}} + \frac{56 \left(3 x - 2\right)}{x^{\frac{3}{7}}} - \frac{\left(3 x - 2\right)^{2}}{x^{\frac{10}{7}}}\right) \sin^{2}{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)^{2}} + \frac{32 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right)^{2} \sin^{2}{\left(x \right)}}{x^{\frac{11}{7}} \left(3 x - 2\right)}\right) \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}}}{\left(2 x + 1\right)^{2} \sin^{2}{\left(x \right)}} + \frac{20 \left(14 \left(2 x + 1\right) \cos{\left(x \right)} + 7 \left(\left(2 x + 1\right) \log{\left(3 \right)} + 6\right) \sin{\left(x \right)} - \frac{4 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right) \sin{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)}\right) \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}}}{x \left(2 x + 1\right) \sin{\left(x \right)}}\right) e^{x} + 5 \left(35 \cdot 3^{\frac{x}{5}} \sqrt[5]{\frac{\left(2 x + 1\right)^{3}}{x^{\frac{4}{7}} \left(3 x - 2\right)^{4}}} e^{x} \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}} + \frac{3^{\frac{x}{5}} \sqrt[5]{\frac{\left(2 x + 1\right)^{3}}{x^{\frac{4}{7}} \left(3 x - 2\right)^{4}}} \left(14 \left(2 x + 1\right) \cos{\left(x \right)} + 7 \left(\left(2 x + 1\right) \log{\left(3 \right)} + 6\right) \sin{\left(x \right)} - \frac{4 \left(21 x^{\frac{4}{7}} + \frac{3 x - 2}{x^{\frac{3}{7}}}\right) \left(2 x + 1\right) \sin{\left(x \right)}}{x^{\frac{4}{7}} \left(3 x - 2\right)}\right) e^{x} \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}}}{\left(2 x + 1\right) \sin{\left(x \right)}} - 7\right)^{2}\right)}{245} - 2\right) e^{5 \cdot 3^{\frac{x}{5}} \sqrt[5]{\frac{\left(2 x + 1\right)^{3}}{x^{\frac{4}{7}} \left(3 x - 2\right)^{4}}} e^{x} \left|{\sin{\left(x \right)}}\right|^{\frac{2}{5}} - x}
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