Manchester United manager Ole Gunnar Solskjaer praised his squad’s professionalism after they booked their place in the FA Cup quarter-finals.
Luke Shaw’s opener and an Odion Ighalo brace earned a 3-0 win at Derby to set up a last-eight clash at Norwich.
United’s record scorer, Wayne Rooney, was twice denied by Sergio Romero on his reunion against his former club on Thursday night.
Rooney almost grabbed a consolation but Romero produced an excellent stop to turn his late free-kick over.
Rams boss Phillip Cocu said: “If the first free-kick goes in, sometimes it defines a game.
“You have to be really effective and on that side they were much better than we were.
“I’m quite satisfied with the performance.”