Sr Examen

Lang:

Derivada de (81/10)^x

Ha introducido [src]

    x
/81\ 
|--| 
\10/

$$\left(\frac{81}{10}\right)^{x}$$

(81/10)^x

Solución detallada

$\frac{d}{d x} \left(\frac{81}{10}\right)^{x} = \left(\frac{81}{10}\right)^{x} \log{\left(\frac{81}{10} \right)}$
Simplificamos:

$\log{\left(\left(\frac{81}{10}\right)^{\left(\frac{81}{10}\right)^{x}} \right)}$

Respuesta:

$\log{\left(\left(\frac{81}{10}\right)^{\left(\frac{81}{10}\right)^{x}} \right)}$

Gráfica

Trazar el gráfico f(x)

Trazar el gráfico f'(x)

Primera derivada [src]

    x        
/81\     /81\
|--| *log|--|
\10/     \10/

$$\left(\frac{81}{10}\right)^{x} \log{\left(\frac{81}{10} \right)}$$

Simplificar

Segunda derivada [src]

    x         
/81\     2/81\
|--| *log |--|
\10/      \10/

$$\left(\frac{81}{10}\right)^{x} \log{\left(\frac{81}{10} \right)}^{2}$$

Simplificar

Tercera derivada [src]

    x         
/81\     3/81\
|--| *log |--|
\10/      \10/

$$\left(\frac{81}{10}\right)^{x} \log{\left(\frac{81}{10} \right)}^{3}$$

Simplificar

Gráfico