PlanetMath: Rolle's theorem

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Rolle's theorem

(Theorem)

Rolle's theorem. If is a continuous function on , such that and differentiable on then there exists a point $c\in(a,b)$ such that .

$\includegraphics{rolle}$

"Rolle's theorem" is owned by drini. [ owner history (1) ]

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Cross-references: point, differentiable, continuous function
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This is version 9 of Rolle's theorem, born on 2001-10-20, modified 2005-03-06.
Object id is 422, canonical name is RollesTheorem.
Accessed 8941 times total.

Classification:

26A06 (Real functions :: Functions of one variable :: One-variable calculus)

Pending Errata and Addenda

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