# smooth

A smooth function is one that is Infinitely differentiable, i.e., possessing infinitely many derivatives.
For example, sin(*x*) is a smooth function, while |*x*|^{3} is not. More complicated mathematical objects such as manifolds are called smooth if they are defined or described by smooth functions.

A smooth function is also one that is continuously differentiable; possessing a continuous tangent or derivative.