Question

У=3x+1/x-1 найти производную функции

Answer 1

у'=((3x+1)/(x-1))'=3*(х-1)-1*(3х+1)/(х-1)²=(3х-3-3х-1)/(х-1)²=-4/(х-1)²

Answer 2

$y=\dfrac{3x+1}{x-1}\\\\\\y'=\dfrac{3(x-1)-(3x+1)}{(x-1)^2}=\dfrac{-4}{(x-1)^2}$