minimal entity page

rolle's theorem

The Mean Value Theorem generalizes [rolle's theorem|rolle's theorem] by considering functions that do not necessarily have equal value at the endpoints.

Mechanism

The Mean <a href='/en/entity/value-theorem'>Value Theorem</a> generalizes rolle's theorem by considering functions that do not necessarily have equal value at the endpoints.

Constraints

rolle's theorem requires that there exists at least one c in (a, b) such that f'(c) = 0.