Find the points of inflection and describe the concavity of the function

f(x) = x^3 (x-4).

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- Apr 27th 2009, 12:35 PM21tyriPoints of inflection and concavity
Find the points of inflection and describe the concavity of the function

f(x) = x^3 (x-4). - Apr 27th 2009, 12:55 PMsupersaiyan
- Apr 27th 2009, 01:48 PM21tyriPoints of inflection
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?