persuade vs convince

persuade and convince both are verbs.

Word	Noun	Adjective	Verb	Adverb
persuade	No	No	Yes	No
convince	No	No	Yes	No

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

persuade: cause somebody to adopt a certain position, belief, or course of action; twist somebody's arm
convince: make (someone) agree, understand, or realize the truth or validity of something

persuade (verb)	convince (verb)
cause somebody to adopt a certain position, belief, or course of action; twist somebody's arm	make (someone) agree, understand, or realize the truth or validity of something
win approval or support for