Thread: Derivative issue

Sorry i have posted the similar thread in the college calculus section because i didn't notice that this section exists.I m in a hurry to solve this problem so i made a thread here too.Hope i m right.

y= (x-2)/(x^2-x+1)

Find y` and y``

for the problem i get to
y`=(-x^2+4x-1)/(x^2-x+1)^2 by u/v method but the answer of this derivative problem is (Given in the book)
-3(x^2-3x+1)/(x^2-x+1)^3
How can i Get to this form ?
answer is not a typo and this problem is from calculus by howard anton
Thanks

y' = (-x^2+4x-1)/(x^2-x+1)^2

your solution for y' is correct

the book solution is incorrect for both y' and y''

I got the same 1st derivative, so probably it´s okay.
The 2nd is a pretty ugly one, and after a double and triple check I got:


Maybe we need someone else to corroborate this. I hope I´m not slipping off...