Sometimes it's always different between other competitions for Real Madrid you can say in the Champions League they will stay focused so they can win against Liverpool twice in the first and second leg.
Real Madrid have a very good tradition in Champions League just like they were born to win Champions League. They have unbelievable winning habit and mentality in Champions League. Such traits many times help them to beat challenge and competitors to go straight to final matches and lift the cup. Champions League is the most hardest cup to win and it is far valuable than La Liga so if any club see good chance to go far and win it, they will not hesitate to spend all resources for it. I am sure not only Real Madrid do this.
Regarding El Classico, of course it is more difficult to visit Camp Nou in La Liga. Real Madrid are a little frustrated, although there is still hope to increase their points, especially if they win next week, their chances are still quite wide open.
By winning the Champions League, I hope Real Madrid can be better than Barcelona and they will continue to be motivated to win it.
The task for Real Madrid in second leg match with Liverpool is easy and they completed it very well. That match does not contribute too much for their next El Classico with Barcelona in La Liga. It is a decisive match for Real Madrid and they actually must win it to reduce the gap and continue their race with Barcelona in La Liga. I don't think chance for Real Madrid to win the El Classico becomes bigger because they just win 1 - 0 over Liverpool.