# Mean value theorem

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Mean value theorem](https://ocme.evemisslab.com/en/atlas/atlas-mean-value-theorem/)

If a<b, f is continuous on [a,b] and differentiable on (a,b), some interior c has derivative equal to the endpoint secant slope.

atlas-mean-value-theorem · canonical_mko

[Mean value theorem](https://ocme.evemisslab.com/en/mko/mko-mean-value-theorem/)

## Prerequisite nodes


- [Real derivatives at a point and finite difference quotients](https://ocme.evemisslab.com/en/atlas/atlas-derivative/)
- [Point values and continuity of real functions](https://ocme.evemisslab.com/en/atlas/atlas-continuity/)
- [Average rate of change between distinct inputs](https://ocme.evemisslab.com/en/atlas/atlas-rate-of-change/)
- [Usual order on the real numbers](https://ocme.evemisslab.com/en/atlas/atlas-order-relation/)