Rolle's Theorem

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.


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.