Rolle’s theorem

Rolle’s theorem. If f is a continuous functionMathworldPlanetmathPlanetmath on [a,b], such that f(a)=f(b) and differentiableMathworldPlanetmathPlanetmath on (a,b) then there exists a point c(a,b) such that f(c)=0.

Title Rolle’s theorem
Canonical name RollesTheorem
Date of creation 2013-03-22 11:51:26
Last modified on 2013-03-22 11:51:26
Owner drini (3)
Last modified by drini (3)
Numerical id 14
Author drini (3)
Entry type Theorem
Classification msc 26A06
Related topic IntermediateValueTheorem
Related topic MeanValueTheorem
Related topic ZeroesOfDerivativeOfComplexPolynomial