 ##  [Point of Non-Differentiability](/point-non-differentiability) 

  ##  [Point of Non-Differentiability](https://mathlogic.quantumdictionary.io/point-non-differentiability-0) 

  

 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A location x0 in the domain of a real- or vector-valued function where the derivative (or differential) does not exist or is not well defined, typically because of a corner, cusp, vertical tangent, or oscillatory behavior that prevents the linear approximation from converging.