Wolfram Function Repository

Instant-use add-on functions for the Wolfram Language

Function Repository Resource:

 CriticalPoints

Source Notebook

Find the critical points of a univariate function

Contributed by: Wolfram|Alpha Math Team

ResourceFunction["CriticalPoints"][expr,x]

returns an association of the critical points of the curve defined by the univariate expression expr.

Details and Options

Types of points returned are "StationaryPoints", "InflectionPoints", "Discontinuities", "Cusps", "Corners", "GlobalExtrema" and "LocalExtrema".

Examples

Basic Examples (1) 

Compute the critical points of the real-valued curve :

In[1]:=
ResourceFunction["CriticalPoints"][Surd[x^2, 3], x]
Out[1]=

Scope (1) 

Compute the critical points of Floor[x]+Sin[Pix]:

In[2]:=
ResourceFunction["CriticalPoints"][Floor[x] + Sin[Pi x], x]
Out[2]=

Publisher

Wolfram|Alpha Math Team

Version History

  • 2.0.0 – 23 March 2023
  • 1.0.0 – 01 April 2020

Related Resources

License Information