# Rolle’s Theorem: Introduction

Rolle’s Theorem says that if a function f(x) is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), and f(a)=f(b), then there is at least some value x=c such that f′(c )=0.

Rolle’s Theorem says that if a function f(x) is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), and f(a)=f(b), then there is at least some value x=c such that f′(c )=0.