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人気のある微分積分 >

derivative of sin(x^2-4)

解

\frac{d}{d x} (sin (x^{2} - 4))

解

cos (x^{2} - 4) \cdot 2 x

解答ステップ

\frac{d}{d x} (sin (x^{2} - 4))

連鎖法則を適用:

cos (x^{2} - 4) \frac{d}{d x} (x^{2} - 4)

= cos (x^{2} - 4) \frac{d}{d x} (x^{2} - 4)

\frac{d}{d x} (x^{2} - 4) = 2 x

= cos (x^{2} - 4) \cdot 2 x

グラフ

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