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Instinctively is an adverb. The adjective on which it is based is instinctive.
I just seem to instinctively know some of the answers.
The old bloodhound instinctively followed the trail of his quarry.
The mother bird knows instinctively how to protect her babies from predators.
No. Instinctive is an adjective. The adverb is "instinctively."
Tarzan sensed the python behind him and instinctively shimmied down the tree trunk.