astutely vs acutely

astutely and acutely both are adverbs.

Word	Noun	Adjective	Verb	Adverb
astutely	No	No	No	Yes
acutely	No	No	No	Yes

As adverbs, astutely and acutely are synonyms defined as:

Other synonyms of astutely include sagaciously, sapiently, shrewdly.

astutely (adverb)	acutely (adverb)
in a shrewd manner	having a rapid onset
	in a keen or penetrating way
	changing suddenly in direction and degree
	in a shrewd manner