The Bulls, meanwhile, have had great chemistry on the court and have won consistently despite dealing with a lot of injuries.
Rose led the way against the Pistons, just as he has for much of this season, making him an MVP front-runner.
He was 8 of 17 -- making half of his six 3-point attempts -- and had seven assists and four steals.
Rose made a perfect pass to set up Ronnie Brewer's layup for a six-point lead with 34 seconds left and connected on two free throws with 5.8 seconds remaining to seal the win.
As he has home and away lately, Rose heard "M-V-P!" chants throughout the night.
"I'm used to it by now," Rose said. "At first, it was crazy and weird. Now, I'm grateful and I appreciate it."
Chicago's Carlos Boozer had 22 points, eight rebounds and seven assists.
"Carlos was outstanding," Bulls coach Tom Thibodeau said. "When he's getting into the post, Derrick is getting shots off the dribble and we have the pick and roll, we've got a lot of ways to get easy offense."
Richard Hamilton scored 30, Prince had 17 points and Bynum added 12 for the Pistons.
The Bulls were without center Joakim Noah because of a sprained right ankle. His replacement, Kurt Thomas, grabbed an offensive rebound and made a baseline jumper to give Chicago a six-point lead with just under a minute left.
Chicago also got contributions from Luol Deng, who scored 15, and reserve Brewer, who added nine points.
Detroit decided to rest Tracy McGrady's tired legs and put Bynum in the lineup after giving Rodney Stuckey the option of starting or coming off the bench.
Rose made sure the Bulls wouldn't overlook the Pistons, making 4 of 5 shots and collecting three assists and three steals in the first 12 minutes of the game.
He gave the Bulls a scare in the second half when he limped off the court, trying to keep weight off his left ankle, but he was back after a timeout and made an assist on the ensuing possession.
"It was [scary] at first," Rose said. "But my will to play just got me back in the game."
After the Pistons retired his No. 10 jersey, Dennis Rodman said he has been informed he will be inducted into the Basketball Hall of Fame. ... Noah said his ankle is feeling better, but he didn't know when he would be healthy enough to play.