Manchester City ended Everton's unbeaten Premier League start with a stylish attacking victory that was the ideal response to the Champions League humbling against Bayern Munich.
Everton led a gripping match when Romelu Lukaku slipped the ball past under-pressure City keeper Joe Hart.
But Alvaro Negredo equalised with a cool finish from Yaya Toure's pass.
Sergio Aguero's low strike made it 2-1 and his penalty, which went in off Tim Howard's head, sealed the win.
The spot-kick, awarded after Seamus Coleman tangled with Pablo Zabaleta but hotly disputed by the visitors, was credited as an own goal to the unfortunate Howard as the ball hit the diving goalkeeper and crossed the line after it hit the post.
It helped ensure City's fourth consecutive home league win, and the victory was a much-needed boost after the painful 3-1 defeat by Bayern on Wednesday and last week's shock league loss against Aston Villa.
But, as impressive as they were in attack, the defensive display in a thrillingly open first half will once again be questioned.
Vincent Kompany was the only player to keep his place in the starting back four from Wednesday and they also lost their inspirational captain to what looked like a leg muscle injury after 33 minutes.
Everton had already looked a threat before then with the ever-impressive Ross Barkley, Steven Naismith and James McCarthy having the better of the midfield battle.
But it was the pace, power and direct running of Lukaku that was the focal point for their attacks.
England keeper Hart - so heavily criticised for his recent performances - did well to prevent Lukaku giving the visitors the lead with an early chance, but he was then beaten by the Belgian when the on-loan Chelsea striker nipped past Joleon Lescott and curled the ball home.
Hart got a strong touch but concerns over his attempt were soon forgotten as the home side levelled within 60 seconds.
Toure played a delightful pass behind Coleman and Negredo slipped the ball home via a big deflection off the scrambling figure of Howard.
Gareth Barry's absence had deprived Everton of their defensive shield and City began to exploit it ruthlessly.
A superb quick free-kick involving Toure and a beautiful first-time pass from David Silva should have seen City go ahead soon after, but Aguero placed his effort narrowly wide of the far post.
