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人気のある微分積分 >

derivative of e^{x+sqrt(x^2+1)}

解

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

解

e^{x + x^{2} + 1} (1 + \frac{x}{x ^{2} + 1})

解答ステップ

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

連鎖法則を適用:

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

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

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

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

グラフ

人気の例

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