The Gunners eased to three points courtesy of goals from France striker Olivier Giroud, Aaron Ramey and Mathieu Flamini.
Arsenal are a point behind defending champions Manchester City after their comfortable win, and Gunners manager Wenger was happy that his side were able to get through a number of tricky moments in the derby.
“We had a good focused performance. We had some weaker moments but in the first half it was all us,” Wenger told Arsenal’s website following their London derby win.
“At the start of the second half we had some problems but we kept a clean sheet and in the final 20 minutes it looked like we could score again, which we did.
“For 80 per cent of the game we were in control. Maybe for 10 or 15 minutes in the second half they put us under pressure but you expect that in a derby when a team is 1-0 down.
“We had some problems coming out of the dressing room when our energy dropped a bit. We found the energy again after and that made the difference.”
The Gunners have won their last five Premier League games following a 2-1 defeat by Tottenham Hotspur in the north London derby at White Hart Lane in February.
Arsenal edged into the FA Cup semi-finals after a 2-1 win against Manchester United last Monday, ending a 10-game winless run at Old Trafford.
Wenger’s side face Monaco in the second leg of their Champions League semi-final after a 3-1 defeat by the Ligue 1 side in the opening leg at The Emirates.
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