Rolle's Theorem is special case of ______?

The Mean Value Theorem states that if a function is continuous on a closed interval and differentiable on the open interval, then there exists a point within the interval where the derivative of the function is equal to the average rate of change of the function over that interval. Rolle's Theorem is a specific application of the Mean Value Theorem where the average rate of change is zero because the function values at the endpoints are equal, resulting in a guaranteed point where the derivative is zero.