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人気のある微分積分 >

derivative of sqrt(x^2+12)

解

\frac{d}{d x} (x^{2} + 12)

解

\frac{x}{x ^{2} + 12}

解答ステップ

\frac{d}{d x} (x^{2} + 12)

連鎖法則を適用:

\frac{1}{2 x ^{2} + 12} \frac{d}{d x} (x^{2} + 12)

= \frac{1}{2 x ^{2} + 12} \frac{d}{d x} (x^{2} + 12)

\frac{d}{d x} (x^{2} + 12) = 2 x

= \frac{1}{2 x ^{2} + 12} \cdot 2 x

簡素化

\frac{1}{2 x ^{2} + 12} \cdot 2 x : \frac{x}{x ^{2} + 12}

= \frac{x}{x ^{2} + 12}

グラフ

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