With the poor performance of City yesterday, I don't think that they have a better chance of Winning United in the upcoming Manchester derby because, City does not have the quality you think they have anymore, and United might shock you on that day by winning City. I see the game as 50-50 in favour of none of them.
For now Man City can't do anything to fight for a good chance in every match and even against Man United, people will definitely say the same thing that the chances are unpredictable. And for my temporary prediction, Man City has a slight advantage when playing at home. If Man City has difficulty beating MU, maybe a draw will be the best result for both teams.