early 15c. (adj.); mid-15c. (n.), from Middle French dérivatif (15c.), from Late Latin derivat-, past participle stem of Latin derivare (see derive). Mathematical sense is from 1670s.
derivative de·riv·a·tive (dĭ-rĭv'ə-tĭv)
n.
Something obtained or produced by modification of something else.
A chemical compound that may be produced from another compound of similar structure in one or more steps.