Italian insists his side gained confidence from troubling United with 10 men in defeat at the Etihad and is aware of the threat posed by Sunday's opponents, Newcastle
The Italian boss also believes that January's FA Cup defeat to their neighbours gave his side more confidence against Sir Alex Ferguson's side than their 6-1 victory at Old Trafford earlier in the season.
"We are the best team in Manchester probably. To be the best in the country we have to win the next two games," Mancini told the press. "It's not important to beat United twice or beat Chelsea [as City have this season], it's only important to win a championship in the end.
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"United didn't have a shot in the second half with 11 players. I think that game was important in changing our mentality against them."
Mancini is aware of the task that his men face at Newcastle this weekend as they look to close in on the title and is happy with a City defence that has conceded just once in the last four games.
"Sunday will be really difficult because of the crowd and Newcastle are a good team," he said of opponents who won 2-0 at Chelsea on Wednesday. "Our approach to the game, preparation this week and mentality will be very important. I think Sunday will probably be a key game.
"If we concede only one goal, it's not only because Joleon [Lescott] and Vinny [Vincent Kompany] played well or they are in good form.
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"All the team worked well in the defensive phase. If not, it's difficult. If you only work with your defenders, it's impossible not to concede a goal. All the team defend well when we need to."