After a night to forget against Monaco in the Champions League on Wednesday, Arsene Wenger's side responded with a 2-0 win over the Toffees on Sunday.
Olivier Giroud returned to the starting line-up and the 28-year-old rewarded his boss with a goal in the 39th minute. Tomas Rosicky secured the three points when he scored in the 89th minute, moving the Gunners into third spot in the Premier League table, just four points adrift of Man City in second place.
All in all, the Arsene Wenger was pleased with his team's performance.
"What was very important today was that we had a mentally united response and we showed that," he said, as Arsenal's official website quoted.
"We are proud of the response that we showed today. Our defensive concentration was at a much higher level than on Wednesday night.
"We know that we can do better with the ball but overall what was important for us was to respond with a win. We got it and not everybody can produce that after such a disappointment. It was vital for us, for the rest of the season, to win the game today."
The Frenchman was also pleased with Giroud's all-round display on the day.
"It was a great goal," he admitted. "He responded very well and I’m not happy only because he scored a goal but also because of the work-rate he put in today from the first to the last minute."
When asked whether Arsenal are still a team on the rise, he replied: "It depends what you call on the rise. We have three more points than last week and if you look at our Premier League run since November, I think we are in a good position.
"On the fluency front we can do better but today our first worry was just to win the game."