Posted by David on Thursday, April 1, 2010 at 11:03pm.
I will assume you meant
f(x) = 4x^3 – 6x^2 – 24x
then
f'(x) = 12x^2-12x - 24
= 0
divide by 12
x^2 - x - 2 = 0
(x-2)(x+1) = 0
x = 2 or x = -1
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