Marcus Rashford said the "energy" Manchester United produced was the difference in a "massive" 2-1 win over Liverpool on Monday.
United responded to a 4-0 thrashing at Brentford by securing a first Premier League win under Erik ten Hag at the expense of their fierce rivals at Old Trafford.
Jadon Sancho opened the scoring with a composed first-half finish and Rashford doubled the Red Devils' lead with his first goal in a competitive match since January 22.
Mohamed Salah pulled one back but United held on for a deserved victory to lift the gloom following pre-match protests against owners the Glazer family, with new signing Casemiro watching on.
United showed a lack of fight when they were blown away at Brentford and Rashford felt they were rewarded for the desire they showed nine days later.
He told Sky Sports: "It's a massive game for the club – no matter the circumstances you are in. To get the win is massive.
"The difference was energy. We started at a high tempo. We were tired at the end as they got a goal back but we stuck at it and we didn't fold. It was an enjoyable game to play in.
"It was a goal I've scored quite regularly so it was important get that type of goal. I felt I was in good positions and areas today – on another day I could have had a few more goals. I've just got to keep working hard."
Winger Sancho says United must ensure they maintain the standards they set against Jurgen Klopp's side.
"It means a lot. Our first two games didn't go so well and had it turn it around today," he said.
"Last week hurt a lot and we knew we had to bounce back and tonight we showed the fans what we can do."
He added: "It means a lot to all of us, you can see how the fans are reacting. We got the three points but on to the next one.
"We just have to produce like today in every single game. Happy we got the three points and we move on."
Real Madrid 0-4 Barcelona: Guijarro brace sets visitors up for Clasico glory
Patri Guijarro's first-half brace set Barcelona on their way to a thumping 4-0 win over rivals Real Madrid in Liga F on Saturday.
Claudia Pina and Alexia Putellas were also on target as Barcelona continued their perfect start to the season, extending their lead at the top of the table.
The visitors dominated from the off, as Guijarro broke the deadlock inside the fourth minute, tapping in from Putellas' flick-on from a corner.
Cata Coll was forced into a big save to deny Alba Redondo an equaliser shortly after, but Madrid's hope was soon dented as Guijarro picked out the bottom corner with a superb long-range strike for her second.
Pina strengthened their lead six minutes before the break, clinically slotting past Misa with her low strike.
Putellas added some more gloss to the scoreline with four minutes remaining of normal time, beating the Madrid keeper with a lovely dink to bring up her 199th goal for the club.
Barcelona have won all 10 of their games, and now sit eight points clear of Madrid, who suffered their first league defeat of the campaign.
Data Debrief: Total dominance
Madrid will have felt fairly confident coming into this game after a strong start to their season, but they once again failed to find a way past their Clasico rival.
Los Blancos have lost every single game they have played against Barcelona in all competitions, with this their 15th such meeting.
Barcelona smothered their attack early on, restricting their hosts to just one shot in the first half, while they had 10.
Amorim wants Man Utd players to be inspired by club's history
Ruben Amorim wants his Manchester United players to be inspired by the club's history as he bids to bring a winning mentality back to Old Trafford.
Amorim, taking over at the Premier League club following the departure of Erik ten Hag, was speaking in his first interview with the club after a tour of their home venue.
The Portuguese tactician had visited Old Trafford earlier in the week and met a group of supporters, as well as the women's team's vice-captain, England star Ella Toone.
"When you come [to Old Trafford], it's so different. You see the trophies, you see the tragedy that we have as a club. The history," said Amorim.
The 39-year-old added the manner in which the club defied the odds to succeed under Matt Busby after the Munich air disaster in 1958 should be a particular source of inspiration.
"This kind of strength, I think it's important to put in our team. When the players come here, they should take the stadium tour all the time. I think this is very important to do," Amorim said.
"It's normal if you go a lot of years without winning, you start losing that feeling. So I think we need to put all the players doing the same thing, to regain that feeling.
"We haven't won the Premier League for a long time. But if you ask, United is the biggest club in England.
"So this is part of history, it is not now. So we have to address that, to show that and to try to win again."
Asked what his footballing philosophy is, the former midfielder said it all comes down to being a team.
"The team is the most important thing for me. And if you work as a team, then the talent individually is going to shine," he said.
"But if I have to explain the importance of everything, it is the character, the way we fight, the way we play, and we must have an identity.
New Man Utd boss Amorim says he must win to be afforded time
New Manchester United head coach Ruben Amorim has said he will need to win matches in order to earn time and create his own identity at the club.
The Portuguese tactician, who left Sporting CP to become Erik ten Hag’s successor at Old Trafford, was speaking during his first interview with the Premier League club.
"We know that we need time, but we have to win time. To win time is to win games. But the most important thing for me is identity. So since day one we will start with our identity," the 39-year-old said.
"Of course we are going to prepare the games, but we will focus a lot in our game model. How to play, how to press, these small things, small details.
"You cannot go 100% on every detail because it will be confusing for the players. So if I have to say one thing, my main goal, my first goal, is identity."
Amorim is the seventh different manager to take charge of the club since Alex Ferguson's retirement in 2013 and will face a trip to Ipswich Town in the league on 24 November on his United debut.
But the former Portugal international added that having a young squad will not be an excuse if he fails to get the desired results in the short term.
"I don't want to say that we need time because we are a young team. They are prepared. They are prepared to cope with the demands of playing for United. They should be because they are here," Amorim said.
"We know it will take time, but we have to start since day one without fear, without thinking that they are not used to playing like this. They will start on the first day with our idea, no matter what. That's the goal."
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