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人気のある微分積分 >

derivative e^{(x-1)^2}

解

導関数

e^{(x - 1)^{2}}

解

e^{(x - 1)^{2}} \cdot 2 (x - 1)

解答ステップ

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

連鎖法則を適用:

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

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

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

= e^{(x - 1)^{2}} \cdot 2 (x - 1)

グラフ

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