It's probably hard to learn so much about a side following a game like that, as Liverpool were so comfortable against an Everton side that simply didn't offer anything.
The visitors had their moment early on in the game as they threatened to start brightly but even then the home side had chances and should've taken the lead.
They waited until a couple of minutes before half-time and Divock Origi opened the floodgates by heading home James Milner's terrific cross. The lead was doubled shortly after as Milner crossed for Mamadou Sakho to head home from close range - and frankly he will never score an easier goal.
The only worry for Liverpool is the injury sustained by Origi as a result of a horror tackle from Ramiro Funes Mori, which saw the Everton centre-back given his marching orders. Origi was replaced by Daniel Sturridge who added the Reds' third on the hour mark.
Philippe Coutinho would round off the scoring, though Sturridge claimed it took a slight deflection off him, but they can have that debate between them. The second half was a mere training exercise that led to a load of ole's that seemed to last for ever during a period when Liverpool just looked so comfortable with the ball at their feet.
Here's what we may have learned about Liverpool from last night's game:
James Milner's importance on the side grows
He may have got booked early on, but following on from those seven minutes he was excellent. Following his display against Borussia Dortmund where he started in the middle of the park, there were probably a few reservations about him starting there again. But he was excellent and was allowed to stroll around in the second half, after he presented two chances that were gratefully taken by teammates Origi and Sakho.
Even if he doesn't play regularly, Liverpool need to keep hold of Lucas Leiva
It was reassuring that despite Liverpool's troubles in the central midfield area because of recent injuries to Emre Can and Jordan Henderson that they had someone so experienced to put in the middle of the park - and this is where the Brazilian shows his worth. He grew into the game, set up one goal, and that older head is always a useful asset for the side. One noticeable thing shortly after the fourth goal was that he urged his side to go looking for more - he was hungry for a derby humiliation.
Reds showed signs of good defensive discipline and shape
It seems a distant memory but Everton looked almost threatening the opening exchanges as they looked to get off to a quick start but Liverpool didn't panic. They were content to let their opponents just play in front of them and soak up any pressure, and they didn't look threatened. Given how much work has gone into Liverpool's shape since Klopp's arrival in October, that must have been a pleasing aspect.
True test of Sturridge's reliability and fitness to come
The one downside of the night will have been losing Divock Origi to a horror tackle from Ramiro Funes Mori. Origi found the net with his 10th goal of the season in all competitions - five goals in his last five games. Daniel Sturridge may have been a little frustrated at not starting every game but this is a big opportunity for him to prove that his fitness woes are behind him. One big plus is that he's in good form having scored in each of his last three league games.
An element of flat-track bully has returned to Liverpool
Sides that face up to Liverpool of late that should be beaten are getting dispatched. Aston Villa, Stoke City and now Everton have all had at least four put past them. The Reds have been criticised for not beating sides that they should, but now there is a feeling they are comprehensively brushing them aside. The weekend's game against Newcastle United will be another test of this particular quality.