Chris Martin struck in the 32nd minute was enough for Derby.
However, Rou Hodgson's side were reduced to 10 men after Luka Milivojevic was given a straight red card for violent conduct in the 63rd minute.
The Ghana striker played for the entire game and despite the defeat still made a high 73 touches, 37 accurate passes (88%), five successful dribbles from five and won nine of 13 ground duels.
The 28-year old has made 22 competitive appearances this season, scoring five goals and providing one assist.
This defeat to Derby is the first-ever home defeat Crystal Palace have suffered in the FA Cup as a top-flight side against a lower league opponent. Read Full Story
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