derivative 12x^3-18x^2

解答

导数

12 x^{3} - 18 x^{2}

36 x^{2} - 36 x

求解步骤

\frac{d}{d x} (12 x^{3} - 18 x^{2})

使用微分加减法定则:

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

= \frac{d}{d x} (12 x^{3}) - \frac{d}{d x} (18 x^{2})

\frac{d}{d x} (12 x^{3}) = 36 x^{2}

\frac{d}{d x} (18 x^{2}) = 36 x

= 36 x^{2} - 36 x

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