derived vs derivative

derived is not a noun while derivative is a noun.

Word	Noun	Adjective	Verb	Adverb
derived	No	Yes	No	No
derivative	Yes	Yes	No	No

derived (noun)	derivative (noun)
	the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
	(linguistics) a word that is derived from another word
	a financial instrument whose value is based on another security
	a compound obtained from, or regarded as derived from, another compound

derived (adjective)	derivative (adjective)
formed or developed from something else; not original	resulting from or employing derivation