# Smooth Function

A Smooth Function is a continuous function that is a differentiable function.

**Example(s):**- a Polynomial Function, ** [math]f(x) = \frac{1}{3} \times x^2 −2.3 \times x^1 + 6 \times x^0[/math].

**Counter-Example(s):****See:**Curve Function, Derivative, Order of Derivation, Domain of a Function.

## References

### 2014

- (Wikipedia, 2014) ⇒ http://en.wikipedia.org/wiki/Smoothness Retrieved:2014-11-23.
- In mathematical analysis,
**smoothness**has to do with how many derivatives of a function exist and are continuous. The term smooth function is often used technically to mean a function that has derivatives of all orders everywhere in its domain.

- In mathematical analysis,