KnowraCauchy's mean value theoremLinked fromLinked fromThe 3 pages that link to Cauchy's mean value theorem, each with the reason it gives.All 3Broader topic 1Related 1Narrower topic 1Mean value theoremBroader topic: It generalizes the theorem from one function to a pair of functions.L'Hôpital's ruleRelated: It provides the central justification for transferring a quotient limit to derivatives.Guillaume de l’HôpitalNarrower topic: Modern proofs of l’Hôpital’s rule commonly derive it from this theorem.