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人気のある微分積分 >

derivative of ln(x^{11})

解

\frac{d}{d x} (ln (x^{11}))

解

\frac{11}{x}

解答ステップ

\frac{d}{d x} (ln (x^{11}))

連鎖法則を適用:

\frac{1}{x ^{11}} \frac{d}{d x} (x^{11})

= \frac{1}{x ^{11}} \frac{d}{d x} (x^{11})

\frac{d}{d x} (x^{11}) = 11 x^{10}

= \frac{1}{x ^{11}} \cdot 11 x^{10}

簡素化

\frac{1}{x ^{11}} \cdot 11 x^{10} : \frac{11}{x}

= \frac{11}{x}

グラフ

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