Derivada de cose^x

Ha introducido [src]

   x   
cos (E)

$$\cos^{x}{\left(e \right)}$$

cos(E)^x

Solución detallada

$\frac{d}{d x} \cos^{x}{\left(e \right)} = \left(\log{\left(- \cos{\left(e \right)} \right)} + i \pi\right) \cos^{x}{\left(e \right)}$

Respuesta:

$\left(\log{\left(- \cos{\left(e \right)} \right)} + i \pi\right) \cos^{x}{\left(e \right)}$

Gráfica

Trazar el gráfico f(x)

Trazar el gráfico f'(x)

Primera derivada [src]

   x                         
cos (E)*(pi*I + log(-cos(E)))

$$\left(\log{\left(- \cos{\left(e \right)} \right)} + i \pi\right) \cos^{x}{\left(e \right)}$$

Simplificar

Segunda derivada [src]

                     2    x   
(pi*I + log(-cos(E))) *cos (E)

$$\left(\log{\left(- \cos{\left(e \right)} \right)} + i \pi\right)^{2} \cos^{x}{\left(e \right)}$$

Simplificar

Tercera derivada [src]

                     3    x   
(pi*I + log(-cos(E))) *cos (E)

$$\left(\log{\left(- \cos{\left(e \right)} \right)} + i \pi\right)^{3} \cos^{x}{\left(e \right)}$$

Simplificar

Gráfico