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人気のある微分積分 >

derivative of 2ln(x^2)

解

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

解

\frac{4}{x}

解答ステップ

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

定数を除去:

(a \cdot f)^{'} = a \cdot f^{'}

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

連鎖法則を適用:

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

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

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

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

簡素化

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

= \frac{4}{x}

グラフ

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