derivative of-(600/(x^2)+4)

解答

\frac{d}{d x} (- \frac{600}{x ^{2}} + 4)

\frac{1200}{x ^{3}}

求解步骤

\frac{d}{d x} (- \frac{600}{x ^{2}} + 4)

使用微分加减法定则:

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

= - \frac{d}{d x} (\frac{600}{x ^{2}}) + \frac{d}{d x} (4)

\frac{d}{d x} (\frac{600}{x ^{2}}) = - \frac{1200}{x ^{3}}

\frac{d}{d x} (4) = 0

= - (- \frac{1200}{x ^{3}}) + 0

化简

= \frac{1200}{x ^{3}}

t an g e n t f (x) = 4 x - 3 x^{2}, at x = 2

d er i v a t i v e e^{, at} sin (b t)

\int csc (x) (csc (x) - cot (x)) d x

t an g e n t y = x^{3} - 2 x^{2} + 5, (2, 5)

x^{2} y^{^{'}} + 2 x y = ln (x), y (1) = 8