derivative 3x^5-20x^3

解答

导数

3 x^{5} - 20 x^{3}

15 x^{4} - 60 x^{2}

求解步骤

\frac{d}{d x} (3 x^{5} - 20 x^{3})

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (3 x^{5}) - \frac{d}{d x} (20 x^{3})

\frac{d}{d x} (3 x^{5}) = 15 x^{4}

\frac{d}{d x} (20 x^{3}) = 60 x^{2}

= 15 x^{4} - 60 x^{2}

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