It's difficult to say exactly how many points a credit score will go up when a derogatory item is removed, as it depends on several factors, like the severity and age of the derogatory item and your overall credit profile. However, removing a derogatory item from a credit report is generally considered a positive action that can help to improve your credit score.
If you have a relatively short credit history with only a few derogatory marks, removing one derogatory item may have a greater impact on your credit score than it would for a borrower with a longer credit history and several derogatory marks. Generally speaking, removing a single derogatory item could result in an increase of anywhere from 10-50 points on your FICO score.