Rodriguez headed home the only goal of the game on 73 minutes after Chris Brunt's corner was headed back across goal.
Unlike Belgian defender Kompany, Guardiola spent Sunday afternoon playing golf with his son instead of watching the United match.
He would have been as surprised as everyone else that the title, seemingly a foregone conclusion for months, was rubber-stamped in such unusual circumstances.
United came from behind to beat City 3-2 in the derby at the Etihad.
Mourinho, though, was quick to dampen talk that United had handed the title to City, insisting it is their dominance over the season that secured their coronation.
United have 71 also with five to play. "Eight titles are eight titles and three Premier Leagues are three Premier Leagues", he said.
Manchester United visit Bournemouth in the Premier League for a 19:45 kick-off on Wednesday before an FA Cup semi-final against Tottenham at Wembley on Saturday.More news: Here's Why Everyone Is Furious About The Commonwealth Games Closing Ceremony
Given the way they have demolished all challengers in the league, it was apparent months ago that it was only a matter of when rather than if City would take the title.
"So to come here and win in my first season, it's fantastic for me".
5 - City match the English top-flight record by claiming the title with five games to spare, equalling the efforts of United (1907-08 and 2000-01) and Everton (1984-85).
Chelsea took 48 points in the 2004-05 season on the road, and City have so far taken 44.
"He annoys me, because I know he's capable of a hundred times more", said Christophe Dugarry, a striker in France's 1998 World Cup-winning side, this week.
"We didn't want or played simple, everything was slow, one more flick, trick, turn".
"These players deserve all my respect because they have been unbelievable all season".
City turned in an incredibly dominant run on its way to a fifth Premier League title that featured an 18-match winning streak, 93 goals scored in 33 matches and just 25 goals against. "It was a bad day for everyone and a bad result", he told Sky Sports News. "You can't describe it".
"We always gave them the opportunity to be solid and compact".