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人気のある微分積分 >

derivative ln(16+x^2)

解

導関数

ln (16 + x^{2})

解

\frac{2 x}{16 + x ^{2}}

解答ステップ

\frac{d}{d x} (ln (16 + x^{2}))

連鎖法則を適用:

\frac{1}{16 + x ^{2}} \frac{d}{d x} (16 + x^{2})

= \frac{1}{16 + x ^{2}} \frac{d}{d x} (16 + x^{2})

\frac{d}{d x} (16 + x^{2}) = 2 x

= \frac{1}{16 + x ^{2}} \cdot 2 x

簡素化

\frac{1}{16 + x ^{2}} \cdot 2 x : \frac{2 x}{16 + x ^{2}}

= \frac{2 x}{16 + x ^{2}}

グラフ

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