differentiate vs mathematics

differentiate is not a noun while mathematics is a noun.

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

differentiate (noun)	mathematics (noun)
	a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

differentiate (verb)	mathematics (verb)
become distinct and acquire a different character
become different during development
evolve so as to lead to a new species or develop in a way most suited to the environment
calculate a derivative; take the derivative
mark as different
be a distinctive feature, attribute, or trait; sometimes in a very positive sense