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