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人気のある微分積分 >

derivative of (x^2/2+1/x)

解

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

解

x - \frac{1}{x ^{2}}

解答ステップ

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

和/差の法則を適用:

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

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

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

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

= x - \frac{1}{x ^{2}}

グラフ

人気の例

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