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人気のある微分積分 >

derivative of (x^2+3x-2^4)

解

\frac{d}{d x} ((x^{2} + 3 x - 2)^{4})

解

4 (x^{2} + 3 x - 2)^{3} (2 x + 3)

解答ステップ

\frac{d}{d x} ((x^{2} + 3 x - 2)^{4})

連鎖法則を適用:

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

= 4 (x^{2} + 3 x - 2)^{3} \frac{d}{d x} (x^{2} + 3 x - 2)

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

= 4 (x^{2} + 3 x - 2)^{3} (2 x + 3)

グラフ

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