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人気のある微分積分 >

derivative-3sin^4(x)

解

導関数

- 3 sin^{4} (x)

解

- 12 sin^{3} (x) cos (x)

解答ステップ

\frac{d}{d x} (- 3 sin^{4} (x))

定数を除去:

(a \cdot f)^{'} = a \cdot f^{'}

= - 3 \frac{d}{d x} (sin^{4} (x))

連鎖法則を適用:

4 (sin (x))^{3} \frac{d}{d x} (sin (x))

= 4 (sin (x))^{3} \frac{d}{d x} (sin (x))

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

= - 3 \cdot 4 (sin (x))^{3} cos (x)

簡素化

= - 12 sin^{3} (x) cos (x)

グラフ

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