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Instant-use add-on functions for the Wolfram Language

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 FunctionCorners (2.0.0) current version: 3.0.0 »

Source Notebook

Find the corners of a curve

Contributed by: Wolfram|Alpha Math Team

ResourceFunction["FunctionCorners"][c,x]

returns the corners of the curve c viewed as a function of x.

Details and Options

A corner is a point where two branchs of a curve meet and the tangents of each branch are not necessarily equal.

Examples

Basic Examples (1) 

Compute the corners of a curve:

In[1]:=
ResourceFunction["FunctionCorners"][ArcTan[Log[Abs[x]]], x]
Out[1]=

Possible Issues (1) 

Note that corners are more general than cusps:

In[2]:=
ResourceFunction["FunctionCorners"][Abs[x], x]
Out[2]=
In[3]:=
ResourceFunction["FunctionCusps"][Abs[x], x]
Out[3]=

Publisher

Wolfram|Alpha Math Team

Version History

  • 3.0.0 – 23 March 2023
  • 2.0.0 – 08 April 2020
  • 1.0.0 – 06 April 2020

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