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人気のある微分積分 >

derivative of (-11/(sqrt(x)))

解

\frac{d}{d x} (\frac{- 11}{x})

解

\frac{11}{2 x ^{\frac{3}{2}}}

解答ステップ

\frac{d}{d x} (\frac{- 11}{x})

簡素化

\frac{- 11}{x} : - \frac{11}{x}

= \frac{d}{d x} (- \frac{11}{x})

定数を除去:

(a \cdot f)^{'} = a \cdot f^{'}

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

指数の規則を適用する:

\frac{1}{a} = a^{- 1}

= - 11 \frac{d}{d x} (x^{- \frac{1}{2}})

乗の法則を適用:

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

= - 11 (- \frac{1}{2} x^{- \frac{1}{2} - 1})

簡素化

- 11 (- \frac{1}{2} x^{- \frac{1}{2} - 1}) : \frac{11}{2 x ^{\frac{3}{2}}}

= \frac{11}{2 x ^{\frac{3}{2}}}

グラフ

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