derivative of 4/5 x^{15}

解答

\frac{d}{d x} (\frac{4}{5} x^{15})

12 x^{14}

求解步骤

\frac{d}{d x} (\frac{4}{5} x^{15})

将常数提出:

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

= \frac{4}{5} \frac{d}{d x} (x^{15})

使用幂法则:

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

= \frac{4}{5} \cdot 15 x^{15 - 1}

化简

\frac{4}{5} \cdot 15 x^{15 - 1} : 12 x^{14}

= 12 x^{14}

s l o p e (10.9) (40.3)

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