slur vs derogation

slur and derogation both are nouns.

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

As nouns, derogation is a hypernym of slur; that is, derogation is a word with a broader meaning than slur:

Other hypernyms of slur include depreciation, disparagement.

slur (noun)	derogation (noun)
a blemish made by dirt	(law) the partial taking away of the effectiveness of a law; a partial repeal or abolition of a law
a disparaging remark	a communication that belittles somebody or something
(music) a curved line spanning notes that are to be played legato

slur (verb)	derogation (verb)
become vague or indistinct
utter indistinctly
speak disparagingly of; e.g., make a racial slur
play smoothly or legato