 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=8x4/(x2+1)2+4x/(x2+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 :)
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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