Question

Найти производную (х+1)/(х-1)^2

Answer 1

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