Sol Campbell scored twice as Arsenal returned to form against Everton.
Campbell, who was making his first Premiership start of the season, scored two first-half headers - both from Jose Antonio Reyes free-kicks.
Goalkeeper Nigel Martyn came for the first but failed to make his ground, while Campbell rose too easily above the Everton defence for his second.
Robin van Persie hit the post for Arsenal, while Freddie Ljungberg struck the crossbar from eight yards.
Everton manager David Moyes was looking for a response from his players after their 5-1 defeat against Dinamo Bucharest in the Uefa Cup last Thursday.
But his struggling team - who have only three points and one goal to show from their five Premiership outings - were comprehensively outplayed.
Moyes gave Matteo Ferrari his debut at left-back but he was given an horrendous welcome to the Premiership by Freddie Ljungberg.
And the Everton defence was exposed time and again by Arsenal's dynamic forward play.
At least Ferrari had the determination to go against the instructions of the Everton physiotherapist and carry on playing after picking up a knock in the second half.
Everton suggested in the opening minutes they were their intent on putting their recent poor form - and last season's 7-0 reverse at Highbury - behind them when Marcus Bent narrowly missed from long-range.
But the visitors were soon opened up, Cesc Fabregas' shot deflecting over after a Robert Pires pass had picked him out in space.
And with 11 minutes gone Martyn's hesitation when coming for a free-kick was punished by Campbell, making his Premiership start of the season, who nodded Arsenal in front.
Everton battled to stay in touch, with Phil Neville involved in several crunching challenges, one of which led to the withdrawal of Robert Pires.
But after Neville was caught in possession Arsenal broke quickly, Van Persie smashing his shot against the post after he was played through by Reyes.
And Everton's plight deepened when Campbell doubled his tally on the half hour, rising above the visitors defence to convert another Reyes free-kick, this time from the left.
Campbell came within inches of an improbable headed hat-trick when another Reyes free-kick narrowly eluded him.
And Everton's inability to defend crosses was exposed again before the break when Kolo Toure connected with another Reyes free-kick, the ball this time flying wide of Nigel Martyn's goal.
Alexander Hleb, on for Pires, played a superb through-ball that both Ljungberg and Van Persie just failed to connect with, ensuring Everton reached the break without conceding any further goals.
Bent forced a save from returning keeper Jens Lehmann after the break but the German comfortably held the striker's shot.
And Martyn was soon back in action at the other end, denying Reyes and later parrying a free-kick that Ljungberg then smashed against the crossbar.
Arsenal manager Arsene Wenger:
"Now the target is to get a result away from home.
"It was important to win and I feel we did it well, in a controlled way even though we scored two unusual goals from set-pieces.
"As long as you don't find the third goal you play in a controlled way, less sharp but controlled.
"Ideally you would want to score all kind of goals, recently it has been set-pieces but we want to score goals the way we love to."
Everton boss David Moyes:
"We've come here before and been opened up. We stopped that tonight.
"We have to take a positive from that. Winning is a habit and so is losing, and we have to get out of that.
"We're not happy with the two goals we conceded from Sol Campbell. You could call the two towering headers, but we should have blocked him off earlier."
Arsenal: Lehmann, Lauren, Toure, Campbell, Cole, Ljungberg, Fabregas, Silva, Pires (Hleb 29), Reyes (Song Billong 86), Van Persie (Bergkamp 67).
Subs Not Used: Senderos, Almunia.
Booked: Fabregas, Reyes.
Goals: Campbell 11, 30.
Everton: Martyn, Hibbert, Yobo, Weir, Ferrari, Osman, Cahill (Ferguson 67), Neville, Arteta (Davies 85), McFadden, Bent (Kilbane 81).
Subs Not Used: Wright, Nuno Valente.
Booked: Cahill, Neville, Hibbert.
Ref: A Wiley (Staffordshire).