Extreme Value Theorem

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

If the function is continuous over the closed interval , then there is at least one maximum value (green) and one minimum value (red) of in that interval.

Contributed by: Jacqueline Wandzura (March 2011)
Additional contributions by: Stephen Wandzura
Open content licensed under CC BY-NC-SA



Snapshot 3: If a function is monotone increasing or decreasing in a given interval, then the endpoints must be the extrema.

Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.