---
tag: 0JW6MDHAZD
kind: concept
name: Saddle point
aliases: [minimax-point]
msc: [26B05]
uses: [0WFBH1Q3WC, 0ABK9V9Y64]
sources:
  - url: https://en.wikipedia.org/wiki/Saddle_point
    locator: lead section
same_as:
  wikidata: Q690935
  wikipedia: Saddle point
---

## Summary

A saddle point of a differentiable function of several variables is a critical point that is not a [[local extremum|0WFBH1Q3WC]].
Near a saddle point, the function takes values both larger and smaller than its value at the point.