Yakupov, first overall pick in the 2012 draft, one-timed a feed from Sam Gagner past Talbot.
Smyth opened the scoring 2:56 into the game by shoving a rebound of David Perrron's shot past Talbot.
Brassard drew the Rangers even at 1-1 with a slap shot that beat Scrivens 22 seconds into the second period. Brassard's goal was his 11th of the season, and it was created by Benoit Pouliot intercepting Jordan Eberle's pass in the Edmonton defensive zone. Pouliot whipped a pass from alongside the left wing boards to Mats Zuccarello, who found Brassard in the right faceoff circle.
Edmonton appeared to take a 2-1 lead on a power play midway through the second, but what would have been a goal by Gagner was waived off by the officiating crew of Dan O'Halloran and Chris Lee. Their ruling was upheld by replay review.
NOTES: Thursday night's game was the 6,000th regular season game in New York Rangers franchise history. ...Before the game, the Oilers announced they would play the Chicago Blackhawks in a preseason game in Saskatoon, Saskatchewan, on Sept. 28, 2014. The preseason game will be the third the Oilers will have played in Saskatoon. ''It's always nice to get to Saskatoon and see the tremendous support the Oilers have throughout Saskatchewan,'' Oilers General Manager General Manager Craig MacTavish said in a statement