---
tag: 0YTCMFB4HC
kind: concept
name: Critical point
msc: [26A24]
sources:
  - url: https://en.wikipedia.org/wiki/Critical_point_(mathematics)
    locator: lead section
same_as:
  wikidata: Q577705
  wikipedia: Critical point (mathematics)
---

## Summary

A critical point of a real function is a point where the derivative is zero or does not exist. All interior local extrema of the function occur at critical points. The node [[critical point|0GEQ42PTGB]] gives the precise definition.