KnowraRolle's theoremLinked fromLinked fromThe 9 pages that link to Rolle's theorem, each with the reason it gives.All 9Broader topic 1Related 4Compared with 4Darboux's theoremRelated: It supplies the critical-point argument behind the intermediate-value behavior of derivatives.Cauchy's mean value theoremRelated: Applying it to a tailored difference of the two functions yields the theorem’s point.Four-vertex theoremRelated: Repeated applications turn periodicity and symmetry constraints into extrema.Interior extremum theoremRelated: The interior-extremum condition is the key fact behind its standard proof.