Sr Examen

Otras calculadoras

(-x)^(x*cos(7x))
Derivada de la función/ cos(7x)/ (-x)^(x*cos(7x))

Derivada de (-x)^(x*cos(7x))

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
    x*cos(7*x)
(-x)
(−x)xcos⁡(7x)\left(- x\right)^{x \cos{\left(7 x \right)}} 
(-x)^(x*cos(7*x))
Solución detallada

  1. No logro encontrar los pasos en la búsqueda de esta derivada.

    Perola derivada

    (xcos⁡(7x))xcos⁡(7x)(log⁡(xcos⁡(7x))+1)\left(x \cos{\left(7 x \right)}\right)^{x \cos{\left(7 x \right)}} \left(\log{\left(x \cos{\left(7 x \right)} \right)} + 1\right)

Respuesta:

(xcos⁡(7x))xcos⁡(7x)(log⁡(xcos⁡(7x))+1)\left(x \cos{\left(7 x \right)}\right)^{x \cos{\left(7 x \right)}} \left(\log{\left(x \cos{\left(7 x \right)} \right)} + 1\right)

Gráfica
02468-8-6-4-2-1010-5000000000050000000000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
    x*cos(7*x)                                                
(-x)          *((-7*x*sin(7*x) + cos(7*x))*log(-x) + cos(7*x))
(−x)xcos⁡(7x)((−7xsin⁡(7x)+cos⁡(7x))log⁡(−x)+cos⁡(7x))\left(- x\right)^{x \cos{\left(7 x \right)}} \left(\left(- 7 x \sin{\left(7 x \right)} + \cos{\left(7 x \right)}\right) \log{\left(- x \right)} + \cos{\left(7 x \right)}\right)
Simplificar
Segunda derivada [src] 
    x*cos(7*x) /                                                2                -cos(7*x) + 7*x*sin(7*x)                                        \
(-x)          *|(-cos(7*x) + (-cos(7*x) + 7*x*sin(7*x))*log(-x))  - 7*sin(7*x) - ------------------------ - 7*(2*sin(7*x) + 7*x*cos(7*x))*log(-x)|
               \                                                                            x                                                    /
(−x)xcos⁡(7x)(−7(7xcos⁡(7x)+2sin⁡(7x))log⁡(−x)+((7xsin⁡(7x)−cos⁡(7x))log⁡(−x)−cos⁡(7x))2−7sin⁡(7x)−7xsin⁡(7x)−cos⁡(7x)x)\left(- x\right)^{x \cos{\left(7 x \right)}} \left(- 7 \left(7 x \cos{\left(7 x \right)} + 2 \sin{\left(7 x \right)}\right) \log{\left(- x \right)} + \left(\left(7 x \sin{\left(7 x \right)} - \cos{\left(7 x \right)}\right) \log{\left(- x \right)} - \cos{\left(7 x \right)}\right)^{2} - 7 \sin{\left(7 x \right)} - \frac{7 x \sin{\left(7 x \right)} - \cos{\left(7 x \right)}}{x}\right)
Simplificar
Tercera derivada [src] 
    x*cos(7*x) /                                                  3                 -cos(7*x) + 7*x*sin(7*x)   14*(2*sin(7*x) + 7*x*cos(7*x))                                                      /             -cos(7*x) + 7*x*sin(7*x)                                        \                                          \
(-x)          *|- (-cos(7*x) + (-cos(7*x) + 7*x*sin(7*x))*log(-x))  - 49*cos(7*x) + ------------------------ - ------------------------------ + 3*(-cos(7*x) + (-cos(7*x) + 7*x*sin(7*x))*log(-x))*|7*sin(7*x) + ------------------------ + 7*(2*sin(7*x) + 7*x*cos(7*x))*log(-x)| + 49*(-3*cos(7*x) + 7*x*sin(7*x))*log(-x)|
               |                                                                                2                            x                                                                     \                        x                                                    /                                          |
               \                                                                               x                                                                                                                                                                                                                            /
(−x)xcos⁡(7x)(49(7xsin⁡(7x)−3cos⁡(7x))log⁡(−x)−((7xsin⁡(7x)−cos⁡(7x))log⁡(−x)−cos⁡(7x))3+3((7xsin⁡(7x)−cos⁡(7x))log⁡(−x)−cos⁡(7x))(7(7xcos⁡(7x)+2sin⁡(7x))log⁡(−x)+7sin⁡(7x)+7xsin⁡(7x)−cos⁡(7x)x)−49cos⁡(7x)−14(7xcos⁡(7x)+2sin⁡(7x))x+7xsin⁡(7x)−cos⁡(7x)x2)\left(- x\right)^{x \cos{\left(7 x \right)}} \left(49 \left(7 x \sin{\left(7 x \right)} - 3 \cos{\left(7 x \right)}\right) \log{\left(- x \right)} - \left(\left(7 x \sin{\left(7 x \right)} - \cos{\left(7 x \right)}\right) \log{\left(- x \right)} - \cos{\left(7 x \right)}\right)^{3} + 3 \left(\left(7 x \sin{\left(7 x \right)} - \cos{\left(7 x \right)}\right) \log{\left(- x \right)} - \cos{\left(7 x \right)}\right) \left(7 \left(7 x \cos{\left(7 x \right)} + 2 \sin{\left(7 x \right)}\right) \log{\left(- x \right)} + 7 \sin{\left(7 x \right)} + \frac{7 x \sin{\left(7 x \right)} - \cos{\left(7 x \right)}}{x}\right) - 49 \cos{\left(7 x \right)} - \frac{14 \left(7 x \cos{\left(7 x \right)} + 2 \sin{\left(7 x \right)}\right)}{x} + \frac{7 x \sin{\left(7 x \right)} - \cos{\left(7 x \right)}}{x^{2}}\right)
Simplificar
Gráfico
Derivada de (-x)^(x*cos(7x))
    © Sr Examen – Калькулятор