disagree vs negate

disagree and negate both are verbs.

Word	Noun	Adjective	Verb	Adverb
disagree	No	No	Yes	No
negate	No	No	Yes	No

As verbs, negate is a hyponym of disagree; that is, negate is a word with a more specific, narrower meaning than disagree:

Other hyponyms of disagree include dissent, clash, contradict, contravene.

disagree (verb)	negate (verb)
be of different opinions	make ineffective by counterbalancing the effect of
be different from one another	prove negative; show to be false
	deny the truth of
	be in contradiction with