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人気のある微分積分 >

derivative of \sqrt[8]{x}-8e^x

解

\frac{d}{d x} (8 x - 8 e^{x})

解

\frac{1}{8 x ^{\frac{7}{8}}} - 8 e^{x}

解答ステップ

\frac{d}{d x} (8 x - 8 e^{x})

和/差の法則を適用:

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

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

\frac{d}{d x} (8 x) = \frac{1}{8 x ^{\frac{7}{8}}}

\frac{d}{d x} (8 e^{x}) = 8 e^{x}

= \frac{1}{8 x ^{\frac{7}{8}}} - 8 e^{x}

グラフ

人気の例

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