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人気のある微分積分 >

derivative of e^{(x^2/2})

解

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

解

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

解答ステップ

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

連鎖法則を適用:

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

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

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

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

グラフ

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