Smooth Function

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

• Example(s):
  • a Polynomial Function, ** [math]\displaystyle{ f(x) = \frac{1}{3} \times x^2 −2.3 \times x^1 + 6 \times x^0 }[/math].
  • …
• Counter-Example(s):
  • Discontinuous Function.
• See: Curve Function, Derivative, Order of Derivation, Domain of a Function.

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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.

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