derivative 65x^{9/10}

解答

导数

65 x^{\frac{9}{10}}

\frac{117}{2 x ^{\frac{1}{10}}}

求解步骤

\frac{d}{d x} (65 x^{\frac{9}{10}})

将常数提出:

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

= 65 \frac{d}{d x} (x^{\frac{9}{10}})

使用幂法则:

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

= 65 \cdot \frac{9}{10} x^{\frac{9}{10} - 1}

化简

65 \cdot \frac{9}{10} x^{\frac{9}{10} - 1} : \frac{117}{2 x ^{\frac{1}{10}}}

= \frac{117}{2 x ^{\frac{1}{10}}}

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