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人気のある微分積分 >

derivative of sqrt((x-8^3))

解

\frac{d}{d x} ((x - 8)^{3})

解

\frac{3 x - 8}{2}

解答ステップ

\frac{d}{d x} ((x - 8)^{3})

連鎖法則を適用:

\frac{1}{2 ( x - 8 ) ^{3}} \frac{d}{d x} ((x - 8)^{3})

= \frac{1}{2 ( x - 8 ) ^{3}} \frac{d}{d x} ((x - 8)^{3})

\frac{d}{d x} ((x - 8)^{3}) = 3 (x - 8)^{2}

= \frac{1}{2 ( x - 8 ) ^{3}} \cdot 3 (x - 8)^{2}

簡素化

\frac{1}{2 ( x - 8 ) ^{3}} \cdot 3 (x - 8)^{2} : \frac{3 x - 8}{2}

= \frac{3 x - 8}{2}

グラフ

人気の例

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