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人気のある微分積分 >

derivative y=e^{7/x}

解

導関数

y = e^{\frac{7}{x}}

解

- \frac{7 e ^{\frac{7}{x}}}{x ^{2}}

解答ステップ

\frac{d}{d x} (e^{\frac{7}{x}})

連鎖法則を適用:

e^{\frac{7}{x}} \frac{d}{d x} (\frac{7}{x})

= e^{\frac{7}{x}} \frac{d}{d x} (\frac{7}{x})

\frac{d}{d x} (\frac{7}{x}) = - \frac{7}{x ^{2}}

= e^{\frac{7}{x}} (- \frac{7}{x ^{2}})

簡素化

e^{\frac{7}{x}} (- \frac{7}{x ^{2}}) : - \frac{7 e ^{\frac{7}{x}}}{x ^{2}}

= - \frac{7 e ^{\frac{7}{x}}}{x ^{2}}

グラフ

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