derivative f(x)=0.882x^{0.842}

解

derivative

\frac{0.742644}{x ^{0.158}}

解答ステップ

\frac{d}{d x} (0.882 x^{0.842})

定数を除去:

(a \cdot f)^{'} = a \cdot f^{'}

= 0.882 \frac{d}{d x} (x^{0.842})

乗の法則を適用:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 0.882 \cdot 0.842 x^{0.842 - 1}

簡素化

0.882 \cdot 0.842 x^{0.842 - 1} : \frac{0.742644}{x ^{0.158}}

= \frac{0.742644}{x ^{0.158}}