differential vs math

differential and math both are nouns.

Word	Noun	Adjective	Verb	Adverb
differential	Yes	Yes	No	No
math	Yes	No	No	No

differential (noun)	math (noun)
a bevel gear that permits rotation of two shafts at different speeds; used on the rear axle of automobiles to allow wheels to rotate at different speeds on curves	a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
a quality that differentiates between similar things
the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx

differential (adjective)	math (adjective)
relating to or showing a difference
involving or containing one or more derivatives