Corbin's record since taking over improved to 100-115 with the win over Denver. The Jazz are 13-26 this season by snapping the Nuggets' five-game winning streak.
"I'll tell you what," Corbin said. "It's a great team effort. Give all the credit to the guys the guys in the locker room and the coaches getting guys ready for every game.
"It's a team thing and I just really appreciate the focus of the guys tonight. [The Nuggets] made some runs at us, but we held it in there and won the ball game."
Corbin took over from Sloan under difficult circumstances.
Two weeks after being named the fourth head coach in the Utah era of the franchise, Corbin saw his All-Star point guard Deron Williams traded way.
The Jazz went 8-20 during the remainder of the season, although they finished a combined 79-69 over the next two years under Corbin.
Utah went to the playoffs in 2012, but top-seeded San Antonio swept the Jazz in the first round.
Derrick Favors, who had 19 points and 15 rebounds against the Nuggets, was acquired from the then-New Jersey Nets in the Williams trade.
He came to Utah as a 19-year-old rookie but is now a centerpiece of the Jazz's ongoing attempt to rebuild.
"It's kind of funny because me and Ty started [here] at almost the same time," said Favors, who averages 13.6 points and 8.9 rebounds this season.
Asked if Corbin has improved as a head coach over the last three years, Favors nodded and said, "There's been a lot of improvement. He's been a good coach. He helped me out a lot with my game. When I first got here, he stayed in my ear about working hard and getting better."
Jeremy Evans has also taken steps forward under Corbin. The former second-round draft pick has evolved into a rotation regular after rarely playing his first three seasons.
"In a game sometimes, I'll turn down a shot," Evans said. "But he tells me, 'Shoot it.' Sometimes even when I catch the ball, I hear him say, 'Shoot it.' That helps your confidence a lot."
Seasons Wins Losses Pct. 2010-11 8 20 .286
2011-12 36 30 .545
2012-13 43 39 .524
2013-14 13 26 .333