• Smooth function - Wikipedia, the free encyclopedia
  In mathematics, a smooth function is one that is infinitely (indefinitely) differentiable, i.e., has derivatives of all finite orders: * A function is called C, or more commonly C0, if it is a continuous function. * A function is called C1 if it has a derivative that is continuous; such functions are also called continuously differentiable. * A function is called Cn for n ≥ 1 if it can be differentiated n times, leaving a continuous n-th derivative: such functions are also called finitely differentiable. * The smooth functions are those that lie in the class Cn for all n; they are often referred to as C∞ functions.
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