# Rolle's theorem

Rolle's theoremnoun

*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*

**MLA Style**

"Rolle\'s theorem." YourDictionary, n.d. Web. 16 August 2018. <http://www.yourdictionary.com/rolle-s-theorem>.

**APA Style**

Rolle\'s theorem. (n.d.). Retrieved August 16th, 2018, from http://www.yourdictionary.com/rolle-s-theorem

(*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.

**MLA Style**

"Rolle\'s theorem." YourDictionary, n.d. Web. 16 August 2018. <http://www.yourdictionary.com/rolle-s-theorem>.

**APA Style**

Rolle\'s theorem. (n.d.). Retrieved August 16th, 2018, from http://www.yourdictionary.com/rolle-s-theorem