Question

f(x)=(x+2)/(2-x)
Производную найти

Answer 1

$f'(x)= \frac{(x+2)'(2-x)-(x+2)(2-x)'}{(2-x)^2} = \frac{1*(2-x)-(x+2)*(-1)}{(2-x)^2} = \frac{2-x+x+2}{(2-x)^2}=$$\frac{4}{(2-x)^2}$

Answer 2

$f(x)= \frac{x+2}{2-x} \\ f'(x)= \frac{(x+2)'(2-x)-(2-x)'(x+2)}{(2-x)^2} = \frac{2-x+x+2}{(2-x)^2} = \frac{4}{(2-x)^2}$