Todd Cantwell, John Souttar and Fashion Jr were all on target as Rangers took the three points in the final derby of the Scottish Premiership season.
Speaking to RangersTV at full-time, Beale said: “I thought the energy from the team was fantastic, it started with the midfield. John Lundstram, Ryan Jack, Nico Raskin, they really worked hard for the team as did the back four behind them and Robby.
“That then gave Todd a chance to be free and pick up spaces and then obviously Fashion and Rabbi who I thought were a constant threat all day with their energy.
“It was good to get the good start, I thought the crowd really pushed us in the first 10 or 15 minutes and I thought that period was a fantastic game for everyone in the stadium and people watching outside.”
With Cantwell opening the scoring inside the first five minutes at Ibrox, Beale was delighted his side could build on that as John Souttar headed home a James Tavernier corner, before a second-half strike from Fashion Jr.
““It was really important, and we work hard on set-plays,” Beale added. “I am delighted for John Souttar and Fashion deserved that goal as well for what he has been through in this fixture this season.
“This is a game to be enjoyed, it is a fantastic game to be involved in, it is a game of big highs and big lows if you like, and I am delighted that we send our fans home happy today.
With over 50,000 Rangers fans in Ibrox today, Beale hopes today’s performance has given them more optimism ahead of next season.
He continued: “That was exactly how we want Ibrox to be, it needs to be like that for every game because it is worth three points you don't get more for winning certain ones.
“If we can bring that energy from the stands, I'll push the boys on the pitch as well to bring the same energy and then next season we give ourselves a big chance to do something we can be proud of.
“I think it has been a tough season overall for the fans but that one today should send them home with a bit more oxygen and a bit more optimism for what is going to be an exciting summer at the football club.
“The players that are here are committed and want to play and want to fight for the shirt. It is just three points, so we don't want to dress it up more than that, but all the players can do is play the game in front of them and I thought today to a man they were outstanding.”
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