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人気のある微分積分 >

derivative (1/x)^3

解

導関数

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

解

- \frac{3}{x ^{4}}

解答ステップ

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

連鎖法則を適用:

3 (\frac{1}{x})^{2} \frac{d}{d x} (\frac{1}{x})

= 3 (\frac{1}{x})^{2} \frac{d}{d x} (\frac{1}{x})

\frac{d}{d x} (\frac{1}{x}) = - \frac{1}{x ^{2}}

= 3 (\frac{1}{x})^{2} (- \frac{1}{x ^{2}})

簡素化

3 (\frac{1}{x})^{2} (- \frac{1}{x ^{2}}) : - \frac{3}{x ^{4}}

= - \frac{3}{x ^{4}}

グラフ

人気の例

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