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人気のある微分積分 >

derivative cos(sin^2(x-2))

解

導関数

cos (sin^{2} (x - 2))

解

- sin (sin^{2} (x - 2)) sin (2 (- 2 + x))

解答ステップ

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

連鎖法則を適用:

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

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

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

= - sin (sin^{2} (x - 2)) sin (2 (- 2 + x))

グラフ

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