Beside these simple adverbs there are derived adverbs. They can be derived from a adjective or, more seldom, from a noun.
from a adjective
Luckily nothing bad happened.
Unfortunately he did not tell me.
from a noun
He behaved bloody stupid.
He drank bucketfuls of wine.
This system is not productive, which means that new words can not easily be created. Either a word already exists and is to be found in a dictionary, or it does not exist. Here, there is no difference between simple and derived adverbs.