overemphasize vs magnify

overemphasize and magnify both are verbs.

Word	Noun	Adjective	Verb	Adverb
overemphasize	No	No	Yes	No
magnify	No	No	Yes	No

As verbs, magnify is a hypernym of overemphasize; that is, magnify is a word with a broader meaning than overemphasize:

Other hypernyms of overemphasize include amplify, exaggerate, hyperbolise, hyperbolize, overdraw, overstate.

overemphasize (verb)	magnify (verb)
place special or excessive emphasis on	increase in size, volume or significance
	make large
	to enlarge beyond bounds or the truth