Verify that the given function f satisfies the hypotheses of the MVT on the given interval [a, b]. Then find all numbers c between a and b for which f(b) - f(a) b - a = f '(c).
(Enter your answers as a comma-separated list. If the theorem does not hold, enter DNE.) f(x) = 2x3 - 3x2 on [0, 3]