Производная atan(4)^x

Вы ввели

    x   
atan (4)

$$\operatorname{atan}^{x}{\left (4 \right )}$$

Подробное решение

1. $\frac{d}{d x} \operatorname{atan}^{x}{\left (4 \right )} = \log{\left (\operatorname{atan}{\left (4 \right )} \right )} \operatorname{atan}^{x}{\left (4 \right )}$

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Ответ:

$\log{\left (\operatorname{atan}{\left (4 \right )} \right )} \operatorname{atan}^{x}{\left (4 \right )}$

Первая производная

    x                
atan (4)*log(atan(4))

$$\log{\left (\operatorname{atan}{\left (4 \right )} \right )} \operatorname{atan}^{x}{\left (4 \right )}$$

Вторая производная

    x       2         
atan (4)*log (atan(4))

$$\log^{2}{\left (\operatorname{atan}{\left (4 \right )} \right )} \operatorname{atan}^{x}{\left (4 \right )}$$

Третья производная

    x       3         
atan (4)*log (atan(4))

$$\log^{3}{\left (\operatorname{atan}{\left (4 \right )} \right )} \operatorname{atan}^{x}{\left (4 \right )}$$