climb down vs go down

climb down and go down both are verbs.

Word	Noun	Adjective	Verb	Adverb
climb down	No	No	Yes	No
go down	No	No	Yes	No

As verbs, go down is a hypernym of climb down; that is, go down is a word with a broader meaning than climb down:

Other hypernyms of climb down include come down, descend, fall.

climb down (verb)	go down (verb)
come down	grow smaller
	stop operating
	be defeated
	be ingested
	go under
	disappear beyond the horizon
	move downward and lower, but not necessarily all the way
	be recorded or remembered