derivative of 12x^2+6x-6

解答

\frac{d}{d x} (12 x^{2} + 6 x - 6)

24 x + 6

求解步骤

\frac{d}{d x} (12 x^{2} + 6 x - 6)

使用微分加减法定则:

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

= \frac{d}{d x} (12 x^{2}) + \frac{d}{d x} (6 x) - \frac{d}{d x} (6)

\frac{d}{d x} (12 x^{2}) = 24 x

\frac{d}{d x} (6 x) = 6

\frac{d}{d x} (6) = 0

= 24 x + 6 - 0

化简

= 24 x + 6

\frac{d}{d x} (\frac{1}{x ^{27}})

a re a x = 22 y^{2}, x = 5 y^{3}

x \to 8 lim (sec (\frac{π \cdot x}{6}))

d er i v a t i v e (3 + 2 x) e^{- 3 x}

\frac{d}{d x} (x^{3} + a x^{2} + b x + d)