derivative of-9x^3+27x+7x-66

解答

\frac{d}{d x} (- 9 x^{3} + 27 x + 7 x - 66)

- 27 x^{2} + 34

求解步骤

\frac{d}{d x} (- 9 x^{3} + 27 x + 7 x - 66)

化简

- 9 x^{3} + 27 x + 7 x - 66 : - 9 x^{3} + 34 x - 66

= \frac{d}{d x} (- 9 x^{3} + 34 x - 66)

使用微分加减法定则:

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

= - \frac{d}{d x} (9 x^{3}) + \frac{d}{d x} (34 x) - \frac{d}{d x} (66)

\frac{d}{d x} (9 x^{3}) = 27 x^{2}

\frac{d}{d x} (34 x) = 34

\frac{d}{d x} (66) = 0

= - 27 x^{2} + 34 - 0

化简

= - 27 x^{2} + 34

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