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人気のある微分積分 >

derivative of ln(2x^3)

解

\frac{d}{d x} (ln (2 x^{3}))

解

\frac{3}{x}

解答ステップ

\frac{d}{d x} (ln (2 x^{3}))

連鎖法則を適用:

\frac{1}{2 x ^{3}} \frac{d}{d x} (2 x^{3})

= \frac{1}{2 x ^{3}} \frac{d}{d x} (2 x^{3})

\frac{d}{d x} (2 x^{3}) = 6 x^{2}

= \frac{1}{2 x ^{3}} \cdot 6 x^{2}

簡素化

\frac{1}{2 x ^{3}} \cdot 6 x^{2} : \frac{3}{x}

= \frac{3}{x}

グラフ

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