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人気のある微分積分 >

derivative f(x)=ln(x^2+2)

解

導関数

f (x) = ln (x^{2} + 2)

解

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

解答ステップ

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

連鎖法則を適用:

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

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

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

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

簡素化

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

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

グラフ

人気の例

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