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人気のある微分積分 >

derivative of e^{sin(3x})

解

\frac{d}{d x} (e^{s i n (3 x)})

解

e^{s i n (3 x)} cos (3 x) \cdot 3

解答ステップ

\frac{d}{d x} (e^{s i n (3 x)})

連鎖法則を適用:

e^{s i n (3 x)} \frac{d}{d x} (sin (3 x))

= e^{s i n (3 x)} \frac{d}{d x} (sin (3 x))

\frac{d}{d x} (sin (3 x)) = cos (3 x) \cdot 3

= e^{s i n (3 x)} cos (3 x) \cdot 3

グラフ

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