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人気のある微分積分 >

derivative y=sin(e^{2x})

解

導関数

y = sin (e^{2 x})

解

cos (e^{2 x}) e^{2 x} \cdot 2

解答ステップ

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

連鎖法則を適用:

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

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

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

= cos (e^{2 x}) e^{2 x} \cdot 2

グラフ

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