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人気のある微分積分 >

derivative f(x)=(3x^3+1)^2

解

導関数

f (x) = (3 x^{3} + 1)^{2}

解

18 x^{2} (3 x^{3} + 1)

解答ステップ

\frac{d}{d x} ((3 x^{3} + 1)^{2})

連鎖法則を適用:

2 (3 x^{3} + 1) \frac{d}{d x} (3 x^{3} + 1)

= 2 (3 x^{3} + 1) \frac{d}{d x} (3 x^{3} + 1)

\frac{d}{d x} (3 x^{3} + 1) = 9 x^{2}

= 2 (3 x^{3} + 1) \cdot 9 x^{2}

簡素化

= 18 x^{2} (3 x^{3} + 1)

グラフ

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