Incorrectly is a derived term of incorrect.
As a adverb incorrectly
is in an incorrect manner.
As a adjective incorrect is
not correct; erroneous or wrong.
Other Comparisons: What's the difference?
Not correct; erroneous or wrong.
* He gave an incorrect answer to a simple question
Faulty or defective.
* The PC crashed due to incorrect programming
Inappropriate or improper.
* He was sacked because of his incorrect behaviour towards his secretary