1. The problem statement, all variables and given/known data Find all inflection points, f(x) = -x^3/2 2. Relevant equations n/a 3. 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??