Question

Найдите производную функции g(x)= (3+2x) (x-5)

Answer 1

$g(x)= \frac{3+2x}{x-5}\\\\g`(x)= \frac{(3+2x)`(x-5)-(3+2x)(x-5)`}{(x-5)^2}= \frac{2(x-5)-(3+2x)}{(x-5)^2}= \frac{2x-10-3-2x}{(x-5)^2}= \frac{-13}{(x-5)^2}$