Производная asin(e)^x

Вы ввели

    x   
asin (E)

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

Подробное решение

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

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Ответ:

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

Первая производная

    x                
asin (E)*log(asin(E))

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

Вторая производная

    x       2         
asin (E)*log (asin(E))

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

Третья производная

    x       3         
asin (E)*log (asin(E))

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