The question goes a bit like this -

Show that f(x) = 3x^2 - 12x + 11 satisfies the hypothesis of Rolle's Theorem on [0,4] and find all the numbers c such that f'(c) = 0

I think i have to differentiate it to begin?.. and then place 0 and 4 into the differentitated equation to find the values between both the closed intervals.. but ive not really been told what the rolles theorem is, and so im not sure what im meant to be showing.. or how

Thanks in advance