go up vs grow

go up and grow both are verbs.

Word	Noun	Adjective	Verb	Adverb
go up	No	No	Yes	No
grow	No	No	Yes	No

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

go up (verb)	grow (verb)
increase in value or to a higher point	come to have or undergo a change of (physical features and attributes)
burn completely; be consumed or destroyed by fire	become larger, greater, or bigger; expand or gain
move upward	cause to grow or develop
go upward with gradual or continuous progress	increase in size by natural process
be erected, built, or constructed	pass into a condition gradually, take on a specific property or attribute; become
move towards	develop and reach maturity; undergo maturation
travel up	grow emotionally or mature
	become attached by or as if by the process of growth
	cultivate by growing, often involving improvements by means of agricultural techniques
	come into existence; take on form or shape