- #1
Beeorz
- 30
- 0
Homework Statement
Find all inflection points,
f(x) = -x^3/2
Homework Equations
n/a
The Attempt at a Solution
f'(x) = -3/2x^-1/2
f''(x) = 3/4x^-3/2
The f''(x) does not exist. I know that doesn't necessarily mean that there isn't any inflection points, but how do I go about finding them? Ususally I just set the 2nd derivate equal to 0 but it doesn't seem to work in this case. When I do set it equal to 0, I get x=0. And when I check points to the left and right of f''(0) the 2nd derivate doesn't change signs. Does that mean there is no inflection points??