Rolle's Theorem - Expii

Rolle's theorem is a nice result that proves the existence of a stationary point between two points on a curve with the same value. Specifically, it states the following: Suppose the function f(x) is continuous on [a,b] and differentiable on (a,b). If f(a)=f(b), then there exists a point c in (a,b) such that f'(c)=0.