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Rolle's theorem
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== History == Although the theorem is named after [[Michel Rolle]], Rolle's 1691 proof covered only the case of polynomial functions. His proof did not use the methods of [[differential calculus]], which at that point in his life he considered to be fallacious. The theorem was first proved by [[Augustin-Louis Cauchy|Cauchy]] in 1823 as a corollary of a proof of the [[mean value theorem]].<ref>{{cite web |first=A. |last=Besenyei |title=A brief history of the mean value theorem |date=September 17, 2012 |url=https://abesenyei.web.elte.hu/publications/meanvalue.pdf }}</ref> The name "Rolle's theorem" was first used by [[Moritz Wilhelm Drobisch]] of Germany in 1834 and by [[Giusto Bellavitis]] of Italy in 1846.<ref>See {{cite book |first=Florian |last=Cajori |author-link=Florian Cajori |title=A History of Mathematics |year=1999 |page=224 |publisher=American Mathematical Soc. |isbn=9780821821022 |url=https://books.google.com/books?id=mGJRjIC9fZgC&pg=RA1-PA119-IA5 }}</ref>
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