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人気のある微分積分 >

derivative of xsqrt(x)\sqrt[3]{x}

解

\frac{d}{d x} (x x 3 x)

解

\frac{11 x ^{\frac{5}{6}}}{6}

解答ステップ

\frac{d}{d x} (x x 3 x)

簡素化

x x 3 x : x^{\frac{11}{6}}

= \frac{d}{d x} (x^{\frac{11}{6}})

乗の法則を適用:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{11}{6} x^{\frac{11}{6} - 1}

簡素化

\frac{11}{6} x^{\frac{11}{6} - 1} : \frac{11 x ^{\frac{5}{6}}}{6}

= \frac{11 x ^{\frac{5}{6}}}{6}

グラフ

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