derivative of (4x^2-16/(x-2))

解答

\frac{d}{d x} (\frac{4 x ^{2} - 16}{x - 2})

4

求解步骤

\frac{d}{d x} (\frac{4 x ^{2} - 16}{x - 2})

化简

\frac{4 x ^{2} - 16}{x - 2} : 4 (x + 2)

= \frac{d}{d x} (4 (x + 2))

将常数提出:

(a \cdot f)^{'} = a \cdot f^{'}

= 4 \frac{d}{d x} (x + 2)

使用微分加减法定则:

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

= 4 (\frac{d x}{d x} + \frac{d}{d x} (2))

\frac{d x}{d x} = 1

\frac{d}{d x} (2) = 0

= 4 (1 + 0)

化简

= 4

t an g e n t f (x) = \frac{1}{x}, (1, 1)

d er i v a t i v e arccos (e^{9 x})

\frac{d}{d x} (0.5 sin (2 x))

a re a x^{2} - 4 x + 3, - x^{2} + 2 x + 3

\int (x^{2} - 4) d x