Etymology
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Words related to derive

*rei- 
Proto-Indo-European root meaning "to flow, run."

It forms all or part of: derive; ember-days; rennet (n.1); Rhine; rialto; rill; rio; rival; rivulet; run; runnel.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit rinati "causes to flow," ritih "stream, course;" Latin rivus "stream;" Old Church Slavonic reka "river;" Middle Irish rian "river, way;" Gothic rinnan "run, flow," rinno "brook;" Middle Low German ride "brook;" Old English riþ "stream;" Old English rinnan, Old Norse rinna "to run," Dutch ril "running stream."
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derivate (v.)

"drain off or convey," early 15c., from Latin derivatus, past participle of derivare(see derive). Related: Derivated; derivating.

derivate (adj.)

"derived," late 15c., from Latin derivatus, past participle of derivare (see derive). From 1650s as a noun, "a word derived from another." Related: Derivately.

derivation (n.)

early 15c., derivacioun, originally in a now-obsolete sense in medicine, "a drawing off or away, a turning aside," from Old French dérivation (14c.) and directly from Latin derivationem (nominative derivatio) "a leading off, turning away," also "derivation of a word, etymology," noun of action from past-participle stem of derivare "to lead or draw off" (see derive).

Grammatical sense, "drawing or tracing of a word in its development or formation from its more original root or stem, a statement of the origin or history of a word" in English is from mid-15c. The general meaning "origination, descent" is from c. 1600; that of "act or fact of drawing or receiving from a source" is from 1650s.

derivative (adj.)

early 15c., in a now-obsolete medical sense, "having the property of drawing off or away," from Old French derivatif (15c.) and directly from Late Latin derivativus, from derivat-, past-participle stem of Latin derivare "to lead or draw off" (see derive). Meaning "taken or having proceeded from another or others, secondary" is from 1520s. Related: Derivatively; derivativeness.