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- W2313104724 abstract "This is certainly an improvement because an additional hypothesis is justifiable only if it delivers a stronger conclusion or an easier proof. I know of no proof of Rolle's theorem that makes use of the vanishing of / at the end points. The main (only?) purpose of Rolle's theorem is to serve as a lemma for the more general mean value theorem. Whether (1) or (1') is given in Rolle's theorem, the mean value theorem is usually proved by first introducing the auxiliary function" @default.
- W2313104724 created "2016-06-24" @default.
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- W2313104724 date "1989-09-01" @default.
- W2313104724 modified "2023-09-26" @default.
- W2313104724 title "A Simple Auxiliary Function for the Mean Value Theorem" @default.
- W2313104724 doi "https://doi.org/10.1080/07468342.1989.11973252" @default.
- W2313104724 hasPublicationYear "1989" @default.
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