Find the points of inflection and describe the concavity of the function
f(x) = x^3 (x-4).
Alright so this is what i came uo with, I still cant figure out how to find the points of inflection though.
f''(x) = 12x^2 - 24x
12x(x-2)= 0
x=2
x=0
(negative infinity,0) concave upward
(0,2) concave downward
(2, infinity) concave upward
how do i find the points of inflection?