Производная (2/5)^x

Вы ввели

   x
2/5 

$$\left(\frac{2}{5}\right)^{x}$$

Подробное решение

1. $\frac{d}{d x} \left(\frac{2}{5}\right)^{x} = \left(\frac{2}{5}\right)^{x} \left(- \log{\left (5 \right )} + \log{\left (2 \right )}\right)$

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Ответ:

$\left(\frac{2}{5}\right)^{x} \left(- \log{\left (5 \right )} + \log{\left (2 \right )}\right)$

Первая производная

   x                   
2/5 *(-log(5) + log(2))

$$\left(\frac{2}{5}\right)^{x} \left(- \log{\left (5 \right )} + \log{\left (2 \right )}\right)$$

Вторая производная

   x                   2
2/5 *(-log(5) + log(2)) 

$$\left(\frac{2}{5}\right)^{x} \left(- \log{\left (5 \right )} + \log{\left (2 \right )}\right)^{2}$$

Третья производная

   x                   3
2/5 *(-log(5) + log(2)) 

$$\left(\frac{2}{5}\right)^{x} \left(- \log{\left (5 \right )} + \log{\left (2 \right )}\right)^{3}$$