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人気のある微分積分 >

derivative of sin(2x*2)

解

\frac{d}{d x} (sin (2 x) \cdot 2)

解

4 cos (2 x)

解答ステップ

\frac{d}{d x} (sin (2 x) \cdot 2)

定数を除去:

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

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

連鎖法則を適用:

cos (2 x) \frac{d}{d x} (2 x)

= cos (2 x) \frac{d}{d x} (2 x)

\frac{d}{d x} (2 x) = 2

= 2 cos (2 x) \cdot 2

簡素化

= 4 cos (2 x)

グラフ

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