---
tag: 0VW90BBSJ4
kind: concept
name: Continuously differentiable function
msc: [26A24]
specializes: [0K57YG3BB8]
sources:
  - url: https://en.wikipedia.org/wiki/Smoothness
    locator: Differentiability classes
inventory: [KQZ8H9DM9F]
---

## Summary

A continuously differentiable function is a differentiable function whose derivative is continuous. The classes $C^k$ ask for $k$ derivatives, the last one continuous. The node [[continuously differentiable function|06SKCHDQT5]] gives the precise definition.