derivative 3/5 x^{10}

解答

导数

\frac{3}{5} x^{10}

6 x^{9}

求解步骤

\frac{d}{d x} (\frac{3}{5} x^{10})

将常数提出:

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

= \frac{3}{5} \frac{d}{d x} (x^{10})

使用幂法则:

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

= \frac{3}{5} \cdot 10 x^{10 - 1}

化简

\frac{3}{5} \cdot 10 x^{10 - 1} : 6 x^{9}

= 6 x^{9}

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