annulment vs derogation

annulment and derogation both are nouns.

Word	Noun	Adjective	Verb	Adverb
annulment	Yes	No	No	No
derogation	Yes	No	No	No

As nouns, derogation is a hyponym of annulment; that is, derogation is a word with a more specific, narrower meaning than annulment:

annulment: the act of abrogating; an official or legal cancellation
derogation: (law) the partial taking away of the effectiveness of a law; a partial repeal or abolition of a law

Other hyponyms of annulment include vacation, recall, revocation.

annulment (noun)	derogation (noun)
(law) a formal termination (of a relationship or a judicial proceeding etc)	(law) the partial taking away of the effectiveness of a law; a partial repeal or abolition of a law
the act of abrogating; an official or legal cancellation	a communication that belittles somebody or something
the state of being cancelled or annulled