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derivative has 5 distinct synonyms spread across 2 of its 5 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
a compound obtained from, or regarded as derived from, another compound
a financial instrument whose value is based on another security
(linguistics) a word that is derived from another word
“`electricity' is a derivative of `electric'”
1 of the 5 recorded senses carries no synonym, antonym or related term, so it is not shown above. Every sense, with its definition and examples, is on the full entry for derivative.
Synonyms, antonyms and the broader and narrower relations for derivative come from Princeton University’s WordNet. Full sources and licences.