Early goals from in-form duo Aleksandar Mitrovic and Ryan Sessegnon handed the visitors maximum points, with Tom Huddlestone's consolation doing little to boost the fifth-placed Rams' promotion ambitions.
Playoff hopefuls Bristol City consolidated their position in the top six with a 4-0 dismantling of struggling Sheffield Wednesday, with a Bobby Reid hat-trick and a Josh Brownhill strike doing the damage at Ashton Gate.
At the other end of the table, basement club Sunderland remain five points away from a position of safety following a 1-1 draw with Millwall, a match in which a rare Bryan Oviedo goal was cancelled out in the second half by Shaun Hutchinson.
No fewer than five of the other scheduled fixtures were called off due to the extreme weather in the UK.
Results in full: Aston Villa P-P QPR, Barnsley P-P Norwich, Bolton 1-3 Preston, Brentford P-P Cardiff, Bristol City 4-0 Sheff Weds, Derby 1-2 Fulham, Ipswich P-P Hull City, Millwall 1-1 Sunderland, Nott'm Forest 2-1 Birmingham, Sheff Utd P-P Burton Albion, Wolves P-P Reading