Arteta’s Arsenal drew, while Alexander-Arnold shone for Liverpool and Ancelotti enjoyed a first win with Everton
Liverpool dominated second-placed Leicester to move 13 points clear at the top of the Premier League on a day where two managers in new roles enjoyed mixed starts.
The Anfield side eased to a 4-0 win at the Foxes as two goals from Roberto Firmino, a James Milner penalty and a fine Trent Alexander-Arnold strike also moved the Reds 14 points clear of champions Manchester City in third.
Dominic Calvert-Lewin’s goal was enough to get Carlo Ancelotti’s reign up and running with a win at Goodison Park, as Everton claimed a gritty 1-0 victory over Burnley.
Mikel Arteta’s first game in management saw his Arsenal side recover to take a point at Bournemouth after Dan Gosling’s first-half goal had put the hosts in front.
But Pierre-Emerick Aubameyang’s close-range finish ensured a share of the spoils for the Gunners, who are now 11th in the top flight.
Manchester United responded to defeat at Watford by hammering Newcastle 4-1 despite falling behind to Matthew Longstaff’s strike.
Goals from Marcus Rashford, Mason Greenwood and a double from Anthony Martial moved Ole Gunnar Solskjaer’s side seventh, four points off the Champions League qualification places.
In Thursday’s early kick-off Harry Kane and Dele Alli scored as Tottenham recovered from going a goal behind to beat Brighton.
Adam Webster had put Graham Potter’s side ahead at the interval but Spurs move up to fifth, three points behind fourth-placed Chelsea.
Meanwhile, Michael Obafemi’s first Premier League goal in over a year set Southampton on their way to a surprise 2-0 win against Chelsea at Stamford Bridge.
Nathan Redmond sealed their victory, when he finished off a stunning team goal to help the Saints up to 14th in the table, the highest they have been since September.
Watford moved off the bottom of the Premier League table with a battling 1-1 draw at in-form Sheffield United.