mathematics vs differential

mathematics and differential both are nouns.

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

mathematics (noun)	differential (noun)
a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement	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 quality that differentiates between similar things
	the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx

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