Corbett, who is to retire after nearly 500 games for Albion spanning 10 years, finished the game with two goals.
Shaun Harrad (two), Marc Goodfellow, Billy Kee, Greg Pearson and the club's sports scientist Jack Sharkey were also on the scoresheet for the Brewers.
Derby, managed by former Burton boss Nigel Clough who signed Corbett in November 2003, sent a strong side.
Theo Robinson (three), Nathan Tyson (two), Jamie Ward, Ben Davies and Conor Sammon were the goalscorers for the Rams.
The final whistle also offered a chance for John McGrath, Nathan Stanton and Aaron Webster to bid farewell to the supporters after their release from the club.