Jurgen Klopp's first Merseyside derby ended in a comfortable victory as Liverpool beat 10-man Everton for their third consecutive Premier League win.
Divock Origi and Mamadou Sakho headed in two goals in as many minutes at the end of the first half.
Everton lost Ramiro Funes Mori for a nasty challenge on Origi, who had to be replaced by Daniel Sturridge.
The substitute then drove in a third before Philippe Coutinho's curled finish completed an emphatic win.
The result keeps Liverpool in with an outside chance of a top-four finish. They are seventh on 54 points, six points behind Arsenal in fourth while Everton are 11th on 41 points.
Everton have not won at Anfield since 1999 and, in truth, they never looked like getting anything from their latest visit.
The Reds looked more organised from the outset, attacked with pace and in numbers, and only a couple of good saves from Joel Robles prevented the hosts from taking the lead much earlier than the 43rd minute.
The sending-off of Funes Moris, after he stood on Origi's ankle, arguably ended any hopes of an Everton fight-back but there had been little to suggest that was ever on the cards.
Liverpool finished with 37 shots on goal, 13 of those on target, while all three of Everton's efforts were wide.
This was the 226th Merseyside derby and one of the most one-sided but it did come at a cost for Liverpool as Klopp confirmed Origi had twisted his ankle.
