Question

Найти производную выражения: y=(x^2+x)/(x^2-3x+2)

Answer 1

-4x^2+4x+2/(x^2-3x+2)^2

Answer 2

y'=((2x+1)(x²-3x+2)-(2х-3)(х²+х))/(х²-3х+2)²=(2х³-6х²+4х+х²-3х+2-2х³-2х²+3х²+3х)/(х²-3х+2)²=(-4х²+4х+2)/(х²-3х+2)²