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人気のある微分積分 >

derivative of cos(e^{3x^2})

解

\frac{d}{d x} (cos (e^{3 x^{2}}))

解

- sin (e^{3 x^{2}}) e^{3 x^{2}} \cdot 6 x

解答ステップ

\frac{d}{d x} (cos (e^{3 x^{2}}))

連鎖法則を適用:

- sin (e^{3 x^{2}}) \frac{d}{d x} (e^{3 x^{2}})

= - sin (e^{3 x^{2}}) \frac{d}{d x} (e^{3 x^{2}})

\frac{d}{d x} (e^{3 x^{2}}) = e^{3 x^{2}} \cdot 6 x

= - sin (e^{3 x^{2}}) e^{3 x^{2}} \cdot 6 x

グラフ

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