By Mark Buckingham
Last Updated: 01/01/70 1:00am
Ronald Koeman's side were in command early on at the Amsterdam ArenA after Maxwell (pictured) opened the scoring on 16 minutes.
Quick-fire goals from Wesley Sneijder and Nicolae Mitea further extended the hosts' advantage before half time.
Johnny Heitinga made it 4-0 on 73 minutes and Sweden international Zlatan Ibrahimovic concluded the scoring ten minutes from the end.
Feyenoord remain firmly in the hunt for a UEFA Champions League spot after nicking a slender win at home to RKC Waalwijk.
The hosts appeared on course for a comfortable success after Dirk Kuyt opened the scoring after just six minutes.
But Feyenoord could not put the game to bed and lived on their nerves for the rest of the game before claiming the three points.
Utrecht are happily settled in mid-table after they dished out a 2-0 beating to Twente Enschede.
Stefaan Tanghe scored after just three minutes for the hosts with Joost Broerse's 72nd minute goal wrapping up the success.
ADO Den Haag failed to take advantage of Vitesse's defeat after only claiming a 0-0 draw at RBC Roosendaal.