Derivada de atan(e)^x

Ha introducido [src]

    x   
atan (E)

$$\operatorname{atan}^{x}{\left(e \right)}$$

atan(E)^x

Solución detallada

$\frac{d}{d x} \operatorname{atan}^{x}{\left(e \right)} = \log{\left(\operatorname{atan}{\left(e \right)} \right)} \operatorname{atan}^{x}{\left(e \right)}$

Respuesta:

$\log{\left(\operatorname{atan}{\left(e \right)} \right)} \operatorname{atan}^{x}{\left(e \right)}$

Gráfica

Trazar el gráfico f(x)

Trazar el gráfico f'(x)

Primera derivada [src]

    x                
atan (E)*log(atan(E))

$$\log{\left(\operatorname{atan}{\left(e \right)} \right)} \operatorname{atan}^{x}{\left(e \right)}$$

Simplificar

Segunda derivada [src]

    x       2         
atan (E)*log (atan(E))

$$\log{\left(\operatorname{atan}{\left(e \right)} \right)}^{2} \operatorname{atan}^{x}{\left(e \right)}$$

Simplificar

Tercera derivada [src]

    x       3         
atan (E)*log (atan(E))

$$\log{\left(\operatorname{atan}{\left(e \right)} \right)}^{3} \operatorname{atan}^{x}{\left(e \right)}$$

Simplificar

Gráfico