I know this is usually a hit or miss with NSG, but hell I've been stuck on this problem for thirty minutes. And yes, I did google. Even tried tutorvista, but they literally brought me halfway through the problem and then wanted me to buy the full package.
Problem: Determine where the function is concave upward and where it is concave downward.
F(x) = (1)/(2+x^2)
Steps: 1. Find first deriv
2. Find second deriv
3. Set equal to 0 and find where it switches
4. Use test points to determine what areas are negative and positive
Answer: Concave upward on 1. (-Infinity, -sqrt(6)/3) 2. (sqrt(6)/3, Infinity)
Concave Downward on (-sqrt(6)/3, sqrt(6), 3)
Thanks!
