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Rolle's theorem illustrated

Here we illustrate Rolle's Theorem: If a function satisfies the three conditions
  • is continuous over the closed interval ,
  • is differentiable over the open interval , and
  • ,
then there exists at least one number in for which . Drag the brown point to see a geometric illustration of Rolle's Theorem.
Developed for use with Thomas' Calculus, published by Pearson.