Question

Найдите производную
$y=\frac{3+2x}{x-2}$

Answer 1

$y'= \frac{(3+2x)'\cdot (x-2)-(3+2x)\cdot (x-2)'}{(x-2)^2} = \frac{2x-4-3-2x}{(x-2)^2} = \frac{-7}{(x-2)^2}$