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人気のある微分積分 >

derivative of x^2-8/(x^3)

解

\frac{d}{d x} (x^{2} - \frac{8}{x ^{3}})

解

2 x + \frac{24}{x ^{4}}

解答ステップ

\frac{d}{d x} (x^{2} - \frac{8}{x ^{3}})

和/差の法則を適用:

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

= \frac{d}{d x} (x^{2}) - \frac{d}{d x} (\frac{8}{x ^{3}})

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

\frac{d}{d x} (\frac{8}{x ^{3}}) = - \frac{24}{x ^{4}}

= 2 x - (- \frac{24}{x ^{4}})

簡素化

= 2 x + \frac{24}{x ^{4}}

グラフ

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