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人気のある微分積分 >

derivative y=(2x^2-3)^2

解

導関数

y = (2 x^{2} - 3)^{2}

解

8 x (2 x^{2} - 3)

解答ステップ

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

連鎖法則を適用:

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

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

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

= 2 (2 x^{2} - 3) \cdot 4 x

簡素化

= 8 x (2 x^{2} - 3)

グラフ

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