your solution for y' is correcty' = (-x^2+4x-1)/(x^2-x+1)^2
the book solution is incorrect for both y' and y''
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