Rolle's Theorem
Initializing live version
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
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.
[more]
Contributed by: Laura R. Lynch (May 2014)
Open content licensed under CC BY-NC-SA
Snapshots
Details
Permanent Citation