give up vs knock off

give up and knock off both are verbs.

Word	Noun	Adjective	Verb	Adverb
give up	No	No	Yes	No
knock off	No	No	Yes	No

As verbs, knock off is a hyponym of give up; that is, knock off is a word with a more specific, narrower meaning than give up:

give up (verb)	knock off (verb)
stop maintaining or insisting on; of ideas or claims	stop pursuing or acting
give up in the face of defeat of lacking hope; admit defeat	get rid of (someone who may be a threat) by killing
give up or agree to forgo to the power or possession of another	write quickly
stop consuming	take by theft
give up with the intent of never claiming again	cut the price of
relinquish possession or control over
lose (something) or lose the right to (something) by some error, offense, or crime
part with a possession or right
give up what is not strictly needed
allow the other (baseball) team to score
leave (a job, post, or position) voluntarily
put an end to a state or an activity