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人気のある微分積分 >

derivative of x^3-4/x

解

\frac{d}{d x} (x^{3} - \frac{4}{x})

解

3 x^{2} + \frac{4}{x ^{2}}

解答ステップ

\frac{d}{d x} (x^{3} - \frac{4}{x})

和/差の法則を適用:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (\frac{4}{x})

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

\frac{d}{d x} (\frac{4}{x}) = - \frac{4}{x ^{2}}

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

簡素化

= 3 x^{2} + \frac{4}{x ^{2}}

グラフ

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