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人気のある微分積分 >

derivative 9x^{1/3}

解

導関数

9 x^{\frac{1}{3}}

解

\frac{3}{x ^{\frac{2}{3}}}

解答ステップ

\frac{d}{d x} (9 x^{\frac{1}{3}})

定数を除去:

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

= 9 \frac{d}{d x} (x^{\frac{1}{3}})

乗の法則を適用:

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

= 9 \cdot \frac{1}{3} x^{\frac{1}{3} - 1}

簡素化

9 \cdot \frac{1}{3} x^{\frac{1}{3} - 1} : \frac{3}{x ^{\frac{2}{3}}}

= \frac{3}{x ^{\frac{2}{3}}}

グラフ

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