derivative of 7x^3-3x^2+3x-12

解答

\frac{d}{d x} (7 x^{3} - 3 x^{2} + 3 x - 12)

21 x^{2} - 6 x + 3

求解步骤

\frac{d}{d x} (7 x^{3} - 3 x^{2} + 3 x - 12)

使用微分加减法定则:

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

= \frac{d}{d x} (7 x^{3}) - \frac{d}{d x} (3 x^{2}) + \frac{d}{d x} (3 x) - \frac{d}{d x} (12)

\frac{d}{d x} (7 x^{3}) = 21 x^{2}

\frac{d}{d x} (3 x^{2}) = 6 x

\frac{d}{d x} (3 x) = 3

\frac{d}{d x} (12) = 0

= 21 x^{2} - 6 x + 3 - 0

化简

= 21 x^{2} - 6 x + 3