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人気のある微分積分 >

derivative of sin(3x^3+2)

解

\frac{d}{d x} (sin (3 x^{3} + 2))

解

cos (3 x^{3} + 2) \cdot 9 x^{2}

解答ステップ

\frac{d}{d x} (sin (3 x^{3} + 2))

連鎖法則を適用:

cos (3 x^{3} + 2) \frac{d}{d x} (3 x^{3} + 2)

= cos (3 x^{3} + 2) \frac{d}{d x} (3 x^{3} + 2)

\frac{d}{d x} (3 x^{3} + 2) = 9 x^{2}

= cos (3 x^{3} + 2) \cdot 9 x^{2}

グラフ

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