Question

Найти производную функции у=(х-2)^2 /х+1

Answer 1

y`=[2(x-2)(x+1)-(x-2)²)]/(x+1)²=(x-2)(2x+2-x+2)/(x+1)²=(x-2)(x+4)/(x+1)²

Answer 2

у=(х-2)^2 /х+1
у"=2(x-2)*(x+1)-(x-2)^2*1 /(x+1)^2=x^2+2x-8/(x+1)^2=
(x+4)+(x+2)/(x+1)^2