convince vs persuade

convince and persuade both are verbs.

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

As verbs, persuade is a hypernym of convince; that is, persuade is a word with a broader meaning than convince:

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

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