derby vs hat

derby and hat both are nouns.

Word	Noun	Adjective	Verb	Adverb
derby	Yes	No	No	No
hat	Yes	No	Yes	No

As nouns, hat is a hypernym of derby; that is, hat is a word with a broader meaning than derby:

derby: a felt hat that is round and hard with a narrow brim
hat: headdress that protects the head from bad weather; has shaped crown and usually a brim

Other hypernyms of derby include chapeau, lid.

derby (noun)	hat (noun)
a felt hat that is round and hard with a narrow brim	an informal term for a person's role
	headdress that protects the head from bad weather; has shaped crown and usually a brim

derby (verb)	hat (verb)
	put on or wear a hat
	furnish with a hat