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人気のある微分積分 >

derivative of sqrt(2x^2+2)

解

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

解

\frac{2 x}{2 x ^{2} + 2}

解答ステップ

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

連鎖法則を適用:

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

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

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

= \frac{1}{2 2 x ^{2} + 2} \cdot 4 x

簡素化

\frac{1}{2 2 x ^{2} + 2} \cdot 4 x : \frac{2 x}{2 x ^{2} + 2}

= \frac{2 x}{2 x ^{2} + 2}

グラフ

人気の例

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