---
tag: 0FBETJR0JG
kind: concept
name: Local maximum
msc: [26A24]
sources:
  - url: https://en.wikipedia.org/wiki/Maximum_and_minimum
    locator: Definition
---

## Summary

A function has a local maximum at a point when its value there is at least as large as its values at all nearby points. Local maxima are the tops of the hills of the graph. The node [[local maximum|00999TYPXB]] gives the precise definition.