derivative-12x^5+75x^4

解答

导数

- 12 x^{5} + 75 x^{4}

- 60 x^{4} + 300 x^{3}

求解步骤

\frac{d}{d x} (- 12 x^{5} + 75 x^{4})

使用微分加减法定则:

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

= - \frac{d}{d x} (12 x^{5}) + \frac{d}{d x} (75 x^{4})

\frac{d}{d x} (12 x^{5}) = 60 x^{4}

\frac{d}{d x} (75 x^{4}) = 300 x^{3}

= - 60 x^{4} + 300 x^{3}

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