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人気のある微分積分 >

derivative of e^{x^2+6x}

解

\frac{d}{d x} (e^{x^{2} + 6 x})

解

e^{x^{2} + 6 x} (2 x + 6)

解答ステップ

\frac{d}{d x} (e^{x^{2} + 6 x})

連鎖法則を適用:

e^{x^{2} + 6 x} \frac{d}{d x} (x^{2} + 6 x)

= e^{x^{2} + 6 x} \frac{d}{d x} (x^{2} + 6 x)

\frac{d}{d x} (x^{2} + 6 x) = 2 x + 6

= e^{x^{2} + 6 x} (2 x + 6)

グラフ

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