Manchester City manager Pep Guardiola said Sergio Aguero is "an authentic legend of this club" after the Argentine's four-goal haul in the English Premier League rout of Leicester City.
The win extended City's Premier League lead to 16 points while Harry Kane netted again as Tottenham beat North London rivals Arsenal.
After a sluggish first half in front of a Premier League record crowd of 83,222 at Wembley, Kane jumped highest to head home his seventh derby goal in seven games and 23rd in the league this season.
Spurs, who would have won by a greater margin but for an inspired performance from goalkeeper Petr Cech, climbed two places to third while Arsenal sit six points adrift of Liverpool in fourth and Juergen Klopp's side have a game in hand.
"I am so happy to win," Spurs coach Mauricio Pochettino said. "We have had three massive games against [Manchester] United, Liverpool and Arsenal and seven points is good."