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 4Gauss–Lucas theoremCompared with: It is the real-variable counterpart to the derivative-root location phenomenon.Bolzano's theoremCompared with: It also guarantees an interior point, but through endpoint equality and differentiability.Casas-Alvero conjectureCompared with: It links roots of a real function to derivative roots, unlike the conjecture's shared-root requirement.Marden's theoremCompared with: It is the real-variable ancestor of interlacing intuitions, but does not specify an ellipse.