bad hat vs derogation

bad hat and derogation both are nouns.

Word	Noun	Adjective	Verb	Adverb
bad hat	Yes	No	No	No
derogation	Yes	No	No	No

bad hat (noun)	derogation (noun)
someone who deliberately stirs up trouble	(law) the partial taking away of the effectiveness of a law; a partial repeal or abolition of a law
	a communication that belittles somebody or something