Rolle's Theorem

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Rolle's theorem states that if a function is continuous on and differentiable on with , then there is at least one value with where the derivative is 0. In terms of the graph, this means that the function has a horizontal tangent line at some point in the interval.


Rolle's theorem can be thought of as a lemma or a corollary of the mean value theorem in calculus.


Contributed by: Laura R. Lynch (May 2014)
Open content licensed under CC BY-NC-SA



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