derivative f(x)=4x^2-5x-4x-2

解答

导数

f (x) = 4 x^{2} - 5 x - 4 x - 2

8 x - 9

求解步骤

\frac{d}{d x} (4 x^{2} - 5 x - 4 x - 2)

化简

4 x^{2} - 5 x - 4 x - 2 : 4 x^{2} - 9 x - 2

= \frac{d}{d x} (4 x^{2} - 9 x - 2)

使用微分加减法定则:

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

= \frac{d}{d x} (4 x^{2}) - \frac{d}{d x} (9 x) - \frac{d}{d x} (2)

\frac{d}{d x} (4 x^{2}) = 8 x

\frac{d}{d x} (9 x) = 9

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

= 8 x - 9 - 0

化简

= 8 x - 9

d er i v a t i v e arctan (7 x)

\int 9 x d x

\int 3 27 x^{5} d x

t an g e n t f (x) = \frac{1}{x - 1}, (- 7, - \frac{1}{8})

a re a (x^{2} - 4), y = 0, x = - 4, x = 3