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人気のある微分積分 >

derivative of e^{60x+50x^2}

解

\frac{d}{d x} (e^{60 x + 50 x^{2}})

解

e^{60 x + 50 x^{2}} (60 + 100 x)

解答ステップ

\frac{d}{d x} (e^{60 x + 50 x^{2}})

連鎖法則を適用:

e^{60 x + 50 x^{2}} \frac{d}{d x} (60 x + 50 x^{2})

= e^{60 x + 50 x^{2}} \frac{d}{d x} (60 x + 50 x^{2})

\frac{d}{d x} (60 x + 50 x^{2}) = 60 + 100 x

= e^{60 x + 50 x^{2}} (60 + 100 x)

グラフ

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