Derry moved to Chelsea from Crystal Palace over the summer and is the son of former Palace captain Shaun Derry.
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Chelsea won the Premier League 2 fixture 5-0 at Newcastle, with Derry amongst the goalscorers.
Also netting were Dujuan Richards, Ryan Kavuma-McQueen, Shumaira Mheuka and Harrison Murray-Campbell.
Playing a full 90 for Chelsea on the night was midfielder Reggie Walsh, who made his senior debut at 16 last season.