The new-look McLaren MP4-19 was slightly off the pace as defending Australian Grand Prix champion Coulthard was almost 1.5 seconds off the lead.
He became the youngest race-winner in F1 history when he won the 2003 Hungarian Grand Prix, and its youngest world champion in 2005, though he has lost those marks to Sebastian Vettel and Lewis Hamilton.
And with the unpredictability this season has produced there's no need to write off either Button -- who has always been dogged by bad luck in his home grand prix -- or his fellow former world champion Hamilton.
Seven-time champion Michael Schumacher marked his 300th Grand Prix with a fine drive for seventh in the Mercedes ahead of their Toro Rosso pair of Jean-Eric Vergne and Daniel Ricciardo.
The British driver dominated the first of two races at the Detroit Grand Prix, finishing nearly 13 seconds ahead of defending series champion Ryan Hunter-Reay on Saturday.
And don't overlook U.S. champion Ashley Wagner, silver medalist at the Grand Prix Final.
World champion Michael Schumacher came seventh in last weekend's Malaysian Grand Prix while also failing to finish in the opening race in Australia.
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Vettel became F1's youngest ever winner with victory in the Italian Grand Prix in September, while Lewis Hamilton is now the sport's youngest world champion following his success this year in only his second season.
The seven-time world champion is due to replace stricken Ferrari driver Felipe Massa in the European Grand Prix in Valencia later this month, but his spokesperson Sabine Kehm told ZDF television in Germany that the injury could wreck his return.
McLaren driver Kimi Raikkonen starts Sunday's European Grand Prix at the Nurburgring on pole position and is just three points adrift of Ferrari's world champion Michael Schumacher.
The 2005 Challenge Tour champion now has an opportunity to avenge his defeat to Australian Robertson in last season's Grand Prix final.
" On the victory podium standing with Mario Andretti, the only living American F1 world champion, Hamilton called the event "probably one of the best, if not the best Grand Prix we've had all year.
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