Etymology
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derive (v.)

late 14c., "descend from," from Old French deriver "to flow, pour out; derive, originate," from Latin derivare "to lead or draw off (a stream of water) from its source" (in Late Latin also "to derive"), from phrase de rivo (de "from" + rivus "stream," from PIE root *rei- "to run, flow").

From c. 1500 as "obtain by a process of reasoning." In reference to words, "arise by a process of word-formation," 1550s; meaning "trace or show derivation" is from c. 1600. General sense of "get, gain, obtain" (as from a source or origin) is from 1560s; that of "arise, spring" (from) a source or origin is from 1660s. Related: Derived; deriving.

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Definitions of derive

derive (v.)
reason by deduction; establish by deduction;
Synonyms: deduce / infer / deduct
derive (v.)
obtain;
derive pleasure from one's garden
Synonyms: gain
derive (v.)
come from;
The present name derives from an older form
derive (v.)
develop or evolve from a latent or potential state;
Synonyms: educe
derive (v.)
come from; be connected by a relationship of blood, for example;
Synonyms: come / descend
From wordnet.princeton.edu