Derivada de y=tan^x2

Ha introducido [src]

   x   
tan (2)

$$\tan^{x}{\left(2 \right)}$$

tan(2)^x

Solución detallada

$\frac{d}{d x} \tan^{x}{\left(2 \right)} = \left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right) \tan^{x}{\left(2 \right)}$

Respuesta:

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

Gráfica

Trazar el gráfico f(x)

Trazar el gráfico f'(x)

Primera derivada [src]

   x                         
tan (2)*(pi*I + log(-tan(2)))

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

Simplificar

Segunda derivada [src]

                     2    x   
(pi*I + log(-tan(2))) *tan (2)

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

Simplificar

Tercera derivada [src]

                     3    x   
(pi*I + log(-tan(2))) *tan (2)

$$\left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right)^{3} \tan^{x}{\left(2 \right)}$$

Simplificar

Gráfico