Quote by truongson243
1. The problem statement, all variables and given/known data
For every x over ℝ, find min, max of following expression
2. Relevant equations
y=8x^{4}/(x^{2}+1)^{2}+4x/(x^{2}+1)+1
3. The attempt at a solution
I've graphed it but it's really complex. How can I find that points? Thank you so much :)

You need to use Calculus, setting the derivative to zero. That gives you a 4th degree polynomial to solve; its two real roots correspond to the max and min. (They are the roots of the polynomial x
^{4}  8x
^{3}  1.)
RGV