preference vs preferential

preference is a noun but preferential is not a noun.

Word	Noun	Adjective	Verb	Adverb
preference	Yes	No	No	No
preferential	No	Yes	No	No

preference (noun)	preferential (noun)
grant of favor or advantage to one over another (especially to a country or countries in matters of international trade, such as levying duties)
the right or chance to choose
a predisposition in favor of something
a strong liking

preference (adjective)	preferential (adjective)
	manifesting partiality