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Wiktionary
derived function

n. (context calculus English) Of a function, another function, the value of which for any value of the independent variable is the instantaneous rate of change of the given function at that value of the independent variable.

WordNet
derived function

n. the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx [syn: derivative, differential coefficient, differential, first derivative]