![]() ![]() ![]() In convex analysis, the notion of a derivative may be replaced by that of the subderivative for piecewise functions. The first element is the support, and the second the function over that. ![]() A function is piecewise differentiable or piecewise continuously differentiable if each piece is differentiable throughout its subdomain, even though the whole function may not be differentiable at the points between the pieces. This method iterates over pieces of the piecewise function, each represented by a pair. The word piecewise is also used to describe any property of a piecewise-defined function that holds for each piece but may not hold for the whole domain of the function. For example, a piecewise polynomial function: a function that is a polynomial on each of its subdomains, but possibly a different one on each. The easiest way to think of them is if you drew more than one function on a graph, and you. Piecewise functions (or piece-wise functions) are just what they are named: pieces of different functions (sub-functions) all on one graph. Vocabulary: piecewise functions Definition: A piecewise function is a function that consists of two or more standard functions defined on different domains. Piecewise is actually a way of expressing the function, rather than a characteristic of the function itself, but with additional qualification, it can describe the nature of the function. Definition of the Derivative Basic Differentiation Rules: Constant, Power, Product, Quotient, and Trig Rules. In mathematics, a piecewise-defined function is a function which is defined by multiple subfunctions, each subfunction applying to a certain interval of the main function's domain. Freebase (0.00 / 0 votes) Rate this definition: ![]()
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