New York is 34.1 percent on the power play this season (14-for-41), and has connected for at least one goal with the man-advantage in 10 of 12 games.
"The power play has been good," Trocheck said. "We're working hard at it. I think that's why we've been so successful. We're making sure we're keeping it simple."
Panarin made it 4-0 at 11:21 with a shot from the bottom of the right circle off a pass from Alexis Lafreniere before Will Cuylle pushed it to 5-0 at 14:10.
Detroit responded with three goals in a span of 5:54 in the third period.
Rasmussen scored at 7:55 to make it 5-1, and Kostin cut it to 5-2 at 8:15.
Copp scored from the right circle at 13:49 for the 5-3 final.
"We've got to figure out a way to score the first goal one of these games," Copp said. "I don't think that we weren't ready to play, but clearly we're missing something."
The Red Wings have been down at least 2-0 in six straight games. They have scored eight goals in the first period in their 13 games.
"You can go back my last 10 press conferences, just cut, paste what I said," Lalonde said. "It's the same thing. You watch hockey, every single game it's the team that has the simple game to start. … It's a race for that simple game to start and tonight the Rangers did it."
Detroit is also 2-for-27 on the power play in the past six games, losing four (2-4-0). The two goals came in a 5-4 win against the Boston Bruins on Saturday. The Red Wings were 12-for-29 in the first seven games, winning five (5-1-1).
"We were kind of bailed out by a really hot power play for a while there," Copp said. "We've got to find consistency in our 5-on-5 and overall intensity. Not that we weren't intense tonight, but we definitely weren't as intense as we were in the Boston game."
NOTES: Red Wings center Dylan Larkin played after missing practice Monday with an injury. He was considered a game-time decision. Larkin played 19:19, went 11-for-17 on face-offs and had five shots on goal. … Detroit center Robby Fabbri was minus-2 in 12:42 of ice time in his first game since Oct. 12. He missed 11 games with a lower-body injury. … Quick made his first start with the Rangers at Madison Square Garden. He is 3-0-1 with a 1.77 goals-against average and .935 save percentage in five games this season.