City’s James Milner put the visitors ahead straight after half-time, before an own-goal by Vincent Kompany equalised for United.
Sergio Aguero then came off the bench and fired in the winning goal with 11 minutes remaining.
On Sunday, Chelsea came from behind to beat Sunderland 2-1 at Stamford Bridge, denying Paolo Di Canio a win in his first game as a Premier League manager.
Sunderland took the lead on the stroke of half-time when Chelsea defender Cesar Azpilicueta hooked John O’Shea’s header into his own goal.
Sunderland’s Matthew Kilgallon gifted Chelsea an equaliser in the 47th minute when he diverted a pass past his own keeper, and Branislav Ivanovic completed the score 10 minutes into the second half.
Also on Sunday, a late equaliser from Gylfi Sigurdsson for Tottenham denied Everton victory in a 2-2 draw at White Hart Lane.
Spurs took the lead after just 34 seconds when Emmanuel Adebayor toed Jan Vertonghen’s cross past Tim Howard.
Phil Jagielka equalised with a 15th-minute header and Kevin Mirallas put the visitors in front eight minutes into the second half.
Wigan’s Shaun Maloney scored an injury-time free-kick to earn a 1-1 draw with Queens Park Rangers on Saturday.
A strike by Loic Remyin the 85th-minute strike gave QPR new hope to avoid relegation, but Maloney put paid to that with practically the last kick of the game.
Also on Saturday, Liverpool’s bid for a European berth faltered as they were held to a 0-0 draw at home to West Ham United.
The result meant Liverpool remain in seventh place and seven points outside the European qualifying spots.
Elsewhere, Newcastle’s Papiss Cisse struck in injury time for a 1-0 win at home to Fulham, lifting Alan Pardew’s side five points clear of the bottom three.
And a ten-man Arsenal squad withstood a West Bromwich Albion battering to claim a 2-1 victory.
Tomas Rosicky was the Gunners’ hero, scoring two goals – more than in his previous 65 league games.
But what looked like an easy win was in jeopardy when Per Mertesacker was sent off – and West Brom’s James Morrison converted the resultant penalty.
Aston Villa improved their chances of avoiding relegation with a 3-1 win at Stoke City.
Gabriel Agbonlahor’s opener was cancelled out by Michael Kightly’s late equaliser, but a strike frm Villa’s Matthew Lowton’s sealed the victory with three minutes left.
Elsewhere, a late equaliser from Swansea’s Luke Moore ended his team’s run of Premier League defeats with a 2-2 draw at Norwich.
And Nigel Adkins’s first home game as Reading manager ended in defeat as Southampton cruised to a 2-0 win at the Madejski Stadium.
In The Phuket News tipping competition: diggersd and scottkip share the top spot on this month’s table, both on 26 points – but eight other players are just three points behind.
Suncat100 continues his rule at the top of the overall scores table, now on 619 points.
This month (April 2013) the competition is sponsored by Australia Bar & Grill in Kata. The monthly winner will receive a B3,000 voucher to spend at the venue.
The overall winner at the end of the season will win a brand new Honda Scoopy courtesy of AP Honda.
Tom's Tips Week 35
Arsenal v Norwich Win
Aston Villa v Fulham Lose
Everton v QPR Win
Reading v Liverpool Lose
Southampton v West Ham Lose
Newcastle v Sunderland Draw
Stoke v Man United Lose
Chelsea v Tottenham Win
Arsenal v Everton Win