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**1. The problem statement, all variables and given/known data**

I know that Rolle's Theorem states that if the function f is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), and if f(a)=f(b) then there is at least one number c in (a,b) such that f'(c)=0. I want to know if there are any practical applications for Rolle's Theorem?

**2. Relevant equations**

**3. The attempt at a solution**