Arsenal manager Arsene Wenger said his side's slow start in games is becoming a problem, after they scraped a draw against Southampton.
Substitute Olivier Giroud glanced in a superb late header to salvage a point after the Gunners had trailed since the third minute.
"In the last two weeks unfortunately we are losing points after a bad start," said Wenger, who saw his side concede twice in the first 11 minutes of the 3-1 defeat by Manchester United eight days previously.
"I felt the Manchester United game played a bit of a part in the head of our defenders," he said.
"They were a bit apprehensive to start well again and that's why it is sometimes not good to talk about the problem because you create a bigger one."
It's safe to say the two managers disagreed.
Liverpool manager Jurgen Klopp accused referee Craig Pawson of "opening the door" for Everton to take a point against his dominant side in the Merseyside derby.
Everton captain Wayne Rooney equalised from the spot after Pawson ruled Dejan Lovren's push on Dominic Calvert-Lewin was worthy of a penalty.
Liverpool took the lead through Mohamed Salah's sublime curling finish from an angle towards the end of the first half, which was deserved reward for the command shown by Klopp's in-form side.
Sadio Mane wasted a fine opportunity to double the lead before Everton, who had only one shot on target from open play, were awarded the 77th-minute penalty.
"Calvert-Lewin is smart and takes a step but even then it's nothing," said an angry Klopp in a bad-tempered interview with Sky Sports.
"The referees don't understand that the player is doing that."
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- SMS Message: Is it time Lukaku got dropped? Play Martial through the middle with Rashford and Lingard either side? from AnonymousCopyright: Getty ImagesSMS Message: They say you can't win the title by Christmas but you can lose it. Everyone else has lost it so by default City have won it! from Darren HSMS Message: United don’t have the quality players in depth so it puts more pressure on the very few we have who are good enough to play for the club it’s made worse by having a manager who doesn’t know how to change it or when to change it, can you believe he left Martial and Lukaku on? City are miles ahead. Mourinho is also past his sell by date. from Anonymous
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- SMS Message: The time has come for all of Europe's top referees to be pooled and games in the Premier League, La Liga, Lique 1 and Serie A to be refereed by international class officials. The refereeing had no bearing on the outcome of the game, but the game was too big for Michael Oliver. How can you book Rashford for dissent bouncing the ball, but Jesus isn't for a deliberate trip? I have no clue why Matic was booked. Kompany two feet off the ground - no card. Rojo booked for competing. As for Jose I'm sorry he's been found wanting since his return including winning the League. Well done to City if they can get decisions like that all season they should romp it. from Paul, Manchester
Manchester CityCopyright: Getty Images
Manchester City defender Kyle Walker, speaking to MOTD: "It’s a very big three points. In the build up to the game there was a lot of pressure on us."
Asked if the title race was over, Walker added: "No, not at all. There's still a lot of football to be played. We've got a big game at Swansea on Wednesday and then we've got Tottenham.
"It's not over yet and we need to keep our feet on the floor. The gaffer won't let us take our feet off the ground. It’s a step in the right direction, it's a positive step."
Manchester City manager Pep Guardiola on BBC Radio 5 live: "We won in Old Trafford again, that is why I am the most pleased and of course for the three points. We played good, with a lot of courage. I'm so satisfied.
"We won because we were better. We are still in December, if we have 11 points when we play the second derby in April then maybe I will tell you that we have the title."
- SMS Message: Somebody mentioned De Gea wasn't tested. At the end of the day Man City dominated and United were lucky to get the goal they did due to defensive mistake. If that didn't happen, it would have been a better result for City. All United did was park the bus as they always do. All 10 players defending and only Lukaku waiting in the middle of the pitch for a counter. City deserving winners. from AnonymousSMS Message: People claiming that City are only winning because the Premier League as a whole is so poor seem to forget we have five English teams in the knock-out stages of the Champions League! from Paul, Manchester
Manchester United posted a 35% possession figure, their lowest at Old Trafford in the Premier League since 2003-04
Manchester City manager Pep Guardiola, speaking to Sky Sports: "The personality to play here is what I want. We can play this way in England. People said we couldn’t play the way we did in Barcelona in England but it is possible and we did it.
"I knew that last season. Always I believed we could do it. Everyone can play how they want, that’s why football is so beautiful. I’m happy to go to Stamford Bridge and Old Trafford and to beat them in this way.
"Football is incredible. We spoke about how to play United but never set-pieces offensively, and then we score two. Football is unpredictable.
"This win means a lot in the way we played for our confidence but in three days we go to Swansea in the winter time. We are going to face a lot of difficulties. In December it’s impossible to be champions but it’s good for us."Copyright: Reuters
On Jose Mourinho saying his side should have had a penalty:"Last season it was the same – we won here and it was the referee. Today as well. Yesterday he spoke about the referee. We are an honest team. We had 75% ball possession, which means we wanted to play. We came here and did that."
On Mourinho's comments that Man City players go down easily:"It’s not true that my players go down easily. That is not an argument I believe."
And on Vincent Kompany going off injured: "Vinnie is always like this – unfortunately we can’t count on him for a long time."
Manchester UnitedCopyright: Reuters
More from United boss Jose Mourinho: "The referee is a human being and he tried his best. He was very committed to have a good match which I think he had but made one mistake which was a crucial mistake.
"They scored two goals which were quite unbelievable to concede. They scored two goals out of nothing with rebounds....two easy goals. We did good things, we did bad things.
"I think they are a very good team, they are lucky, they have decisions in their favour."
On the title race: "I'm pretty sure everyone is going to fight for points and try and reduce the distance, but the advantage is a very good one."
Manchester United boss Jose Mourinho, speaking to MOTD: "Like last season, we had a penalty with City - Bravo on Rooney. This season is the same. But Michael was unlucky as it was a clear penalty.
"Two bad goals. Not what you expect to concede. City have good qualities. They have a huge percentage of ball but their creation we kept control of.
"We did enough to win the game? It depends on your perspective. They had more of the ball and apparently more control because they kept the ball more than us. But I think the players fought enough. Without any analysing the match is made of incidents and the penalty was a big incident."
Bizarre: Are City really just that good? Or has the Premier League become that poor? You can't call a league competitive with an 11 point gap difference between 1st and 2nd.
Andrew: The worst thing about the United result today is that it was kind of expected.
Manchester UnitedCopyright: Getty Images
Manchester United boss Jose Mourinho, speaking to BBC Sport: "My first reaction is I feel sorry for referee Michael Oliver because he had a very good match but unfortunately he made an important mistake.
"The result was made with a big penalty not given [on Ander Herrera]. That would have been 2-2 with 20 minutes to go
"Michael was unlucky because it was a clear penalty."
Asked whether the title race is over, Mourinho adds: "Probably, yes.
"Manchester City are a very good team and they are protected by the luck, and the gods of football are behind them."
- SMS Message: It has never felt better to be a City fan!! from GinnySMS Message: United are red, Manchester is blue, City won, Two assists for Lukaku. from Jon, Weston-super-MareSMS Message: Tactics cost us dearly today, when we took game to City in second-half we were matching them. Jose really needs to move forward with the times - totally deserved for City today. from Kev, disappointed United fan
In his first interview Jose Mourinho said 'I don't know' when asked if the title race was over. In the second one he said 'probably, yes.'
By his 20th interview he will be in a relegation fight...
Southampton got 46 points last season...