Derivada de y=ctge^x

Ha introducido [src]

   x   
cot (E)

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

cot(E)^x

Solución detallada

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

Respuesta:

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

Primera derivada [src]

   x               
cot (E)*log(cot(E))

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

Simplificar

Segunda derivada [src]

   x       2        
cot (E)*log (cot(E))

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

Simplificar

Tercera derivada [src]

   x       3        
cot (E)*log (cot(E))

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

Simplificar