Rolle’s theorem

Rolle’s theorem. If $f$ is a continuous function on $[a,b]$, such that $f(a)=f(b)$ and differentiable on $(a,b)$ then there exists a point $c\in (a,b)$ such that $f^{\prime }(c)=0$.

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