noun

*x*-intercepts, and has a tangent at every point between the intercepts, at least one of these tangents is parallel to the

*x*-axis.

Origin of Rolle's theorem

*After Michel*

*Rolle*

*(1652-1719), French mathematician*

noun

A theorem stating that if a curve is continuous, has two *x* -intercepts, and has a tangent at every point between the intercepts, at least one of these tangents is parallel to the *x* -axis.

Origin of Rolle's theorem

THE AMERICAN HERITAGE® DICTIONARY OF THE ENGLISH LANGUAGE, FIFTH EDITION by the Editors of the American Heritage Dictionaries. Copyright © 2016, 2011 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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"Rolle\'s theorem." YourDictionary, n.d. Web. 21 October 2018. <http://www.yourdictionary.com/rolle-s-theorem>.

**APA Style**

Rolle\'s theorem. (n.d.). Retrieved October 21st, 2018, from http://www.yourdictionary.com/rolle-s-theorem

Noun

(*plural not attested*)

- (calculus) A theorem stating that any real-valued differentiable function that attains equal values at two distinct points must have a point somewhere between them where the first derivative (the slope of the tangent line to the graph of the function) is zero.

English Wiktionary. Available under CC-BY-SA license.

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**MLA Style**

"Rolle\'s theorem." YourDictionary, n.d. Web. 21 October 2018. <http://www.yourdictionary.com/rolle-s-theorem>.

**APA Style**

Rolle\'s theorem. (n.d.). Retrieved October 21st, 2018, from http://www.yourdictionary.com/rolle-s-theorem