Rolle Theorem

Rolle Theorem

Rolle's Theorem
Definition
If a function f is continuous on a closed interval [a, b], differentiable on the open interval (a, b), and f(a) = f(b), then there exists at least one c in the interval (a, b) such that the derivative f'(c) = 0.
Applications
Calculus
Physics
Examples
Example 1
Example 2