drop vs give up

drop is a noun but give up is not a noun.

Word	Noun	Adjective	Verb	Adverb
drop	Yes	No	Yes	No
give up	No	No	Yes	No

As verbs, give up is a hypernym of drop; that is, give up is a word with a broader meaning than drop:

Other hypernyms of drop include cease, discontinue, lay off, quit, stop.

drop (noun)	give up (noun)
the act of dropping something
a central depository where things can be left or picked up
a curtain that can be lowered and raised onto a stage from the flies; often used as background scenery
a sudden sharp decrease in some quantity
a free and rapid descent by the force of gravity
a predetermined hiding place for the deposit and distribution of illicit goods (such as drugs or stolen property)
a steep high face of rock
a small indefinite quantity (especially of a liquid)
a shape that is spherical and small

drop (verb)	give up (verb)
give birth; used for animals	stop maintaining or insisting on; of ideas or claims
grow progressively worse	give up in the face of defeat of lacking hope; admit defeat
go down in value	give up or agree to forgo to the power or possession of another
stop pursuing or acting	stop consuming
change from one level to another	give up with the intent of never claiming again
lower the pitch of (musical notes)	relinquish possession or control over
fall or sink into a state of exhaustion or death	lose (something) or lose the right to (something) by some error, offense, or crime
leave undone or leave out	part with a possession or right
omit (a letter or syllable) in speaking or writing	give up what is not strictly needed
utter with seeming casualness	allow the other (baseball) team to score
lose (a game)	leave (a job, post, or position) voluntarily
take (a drug, especially LSD), by mouth	put an end to a state or an activity
remove (cargo, people, etc.) from and leave
to remove
cause to fall by or as if by delivering a blow
let or cause to fall in drops
to fall vertically
let fall to the ground
fall or descend to a lower place or level
pay out
stop associating with
terminate an association with
hang loosely