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人気のある微分積分 >

derivative of (x^2^{1/2})

解

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

解

\frac{1}{2 x}

解答ステップ

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

乗の法則を適用:

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

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

簡素化

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

= \frac{1}{2 x}

グラフ

人気の例

derivative of (2x+3/(x+2))

\frac{d}{d x} (\frac{2 x + 3}{x + 2})

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

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\int \frac{1}{( 1 + cos ( x ) ) ^{2}} d x

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\int \frac{1}{t + 2} d t

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