# Breaking point

From Encyclopedia of Mathematics

*angle point*

A singular point of a plane curve with the property that two branches of the curve end in it in such a way that each has a (one-sided) tangent at the point different from the other. For example, the origin is a breaking point of the curve $y=x/(1+e^{1/x})$ (see Fig.). The left and right derivatives are different at a breaking point.

Figure: b017630a

**How to Cite This Entry:**

Breaking point.

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Breaking_point&oldid=32016

This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article