persimmon tree vs fruit tree

persimmon tree and fruit tree both are nouns.

Word	Noun	Adjective	Verb	Adverb
persimmon tree	Yes	No	No	No
fruit tree	Yes	No	No	No

As nouns, fruit tree is a hypernym of persimmon tree; that is, fruit tree is a word with a broader meaning than persimmon tree:

persimmon tree (noun)	fruit tree (noun)
any of several tropical trees of the genus Diospyros	tree bearing edible fruit