Editing Mean value theorem (section)

== History ==

A special case of this [[theorem]] for inverse interpolation of the sine was first described by [[Parameshvara]] (1380–1460), from the [[Kerala School of Astronomy and Mathematics]] in [[India]], in his commentaries on [[Govindasvāmi]] and [[Bhāskara II]].<ref>J. J. O'Connor and E. F. Robertson (2000). [https://mathshistory.st-andrews.ac.uk/Biographies/Paramesvara/ Paramesvara], ''[[MacTutor History of Mathematics archive]]''.</ref> A restricted form of the theorem was proved by [[Michel Rolle]] in 1691; the result was what is now known as [[Rolle's theorem]], and was proved only for polynomials, without the techniques of calculus. The mean value theorem in its modern form was stated and proved by [[Augustin Louis Cauchy]] in 1823.<ref>{{cite web|author=Ádám Besenyei|title=Historical development of the mean value theorem| url=http://abesenyei.web.elte.hu/publications/meanvalue.pdf}}</ref> Many variations of this theorem have been proved since then.<ref>{{Cite journal|last=Lozada-Cruz|first=German|date=2020-10-02|title=Some variants of Cauchy's mean value theorem|url=https://www.tandfonline.com/doi/full/10.1080/0020739X.2019.1703150|journal=International Journal of Mathematical Education in Science and Technology|language=en|volume=51|issue=7|pages=1155–1163|doi=10.1080/0020739X.2019.1703150|bibcode=2020IJMES..51.1155L|s2cid=213335491|issn=0020-739X}}</ref><ref>{{Cite book|last=Sahoo, Prasanna.|url=https://www.worldcat.org/oclc/40951137|title=Mean value theorems and functional equations|date=1998|publisher=World Scientific|others=Riedel, T. (Thomas), 1962-|isbn=981-02-3544-5|location=Singapore|oclc=40951137}}</ref>