For more reaction to Manchester City's victory visit ITV Granada.
Arsenal's Jack Wilshere thinks City are now favourites for the title, but the difficulty of their next fixture, away at surprise package Newcastle, can't be underestimated.
Massive, massive win for City.....fancy them now but they still have to go to Newcastle away! Tough game....From @JackWilshere on Twitter:
Our colleagues at Granada Reports have collected reaction from Manchester City fans outside the Etihad stadium.
Click here for more of their coverage.
Sir Alex Ferguson and Roberto Mancini had to be separated during the Manchester derby.
The Manchester City manager later told SkySports that he "could not remember" what they were arguing about.
Manchester City: 1/2
Manchester Utd: 13/8
Odds from Ladbrokes.
Manchester City lead rivals Manchester United by goal difference after beating them 1-0 at the Etihad Stadium.
Manchester City have gone top of the Premier League after beating title rivals Manchester United 1-0 at the Etihad Stadium.
A Vincent Kompany header in added time in the first half was the difference between the two teams.
A Vincent Kompany header in added time in the first half has given Manchester City a 1-0 lead over title rivals Manchester United.
Click here for live updates on the showdown between Manchester City and Manchester United.