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人気のある微分積分 >

derivative of 1-9/(x^2)

解

\frac{d}{d x} (1 - \frac{9}{x ^{2}})

解

\frac{18}{x ^{3}}

解答ステップ

\frac{d}{d x} (1 - \frac{9}{x ^{2}})

和/差の法則を適用:

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

= \frac{d}{d x} (1) - \frac{d}{d x} (\frac{9}{x ^{2}})

\frac{d}{d x} (1) = 0

\frac{d}{d x} (\frac{9}{x ^{2}}) = - \frac{18}{x ^{3}}

= 0 - (- \frac{18}{x ^{3}})

簡素化

= \frac{18}{x ^{3}}

グラフ

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