first derivative vs derived function

first derivative and derived function both are nouns.

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

As nouns, first derivative and derived function are synonyms defined as:

first derivative and derived function: the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx

Other synonyms of first derivative include derivative, differential, differential coefficient.

first derivative (noun)	derived function (noun)
the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx	the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx