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人気のある微分積分 >

derivative of sin^2(2x+5)

解

\frac{d}{d x} (sin^{2} (2 x + 5))

解

4 sin (2 x + 5) cos (2 x + 5)

解答ステップ

\frac{d}{d x} (sin^{2} (2 x + 5))

連鎖法則を適用:

2 sin (2 x + 5) \frac{d}{d x} (sin (2 x + 5))

= 2 sin (2 x + 5) \frac{d}{d x} (sin (2 x + 5))

\frac{d}{d x} (sin (2 x + 5)) = cos (2 x + 5) \cdot 2

= 2 sin (2 x + 5) cos (2 x + 5) \cdot 2

簡素化

= 4 sin (2 x + 5) cos (2 x + 5)

グラフ

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