A smooth function is a function that has continuous derivatives up to some desired order over some domain. A function can therefore be said to be smooth over a restricted interval such as or . The number of continuous derivatives necessary for a function to be considered smooth depends on the problem at hand, and may vary from two to infinity. A function for which all orders of derivatives are continuous is called a C^∞-function.

See also

C^∞-Function, Continuous Function, Derivative, Function

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Weisstein, Eric W. "Smooth Function." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SmoothFunction.html

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