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人気のある微分積分 >

derivative f(x)=(x^3)/(24)+2/x

解

導関数

f (x) = \frac{x ^{3}}{24} + \frac{2}{x}

解

\frac{x ^{2}}{8} - \frac{2}{x ^{2}}

解答ステップ

\frac{d}{d x} (\frac{x ^{3}}{24} + \frac{2}{x})

和/差の法則を適用:

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

= \frac{d}{d x} (\frac{x ^{3}}{24}) + \frac{d}{d x} (\frac{2}{x})

\frac{d}{d x} (\frac{x ^{3}}{24}) = \frac{x ^{2}}{8}

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

= \frac{x ^{2}}{8} - \frac{2}{x ^{2}}

グラフ

人気の例

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