Liverpool continued their good recent form by brushing Championship side Derby aside to reach the fourth round of the EFL Cup.
Ragnar Klavan gave the visitors the lead, slotting in his first Reds goal from a Philippe Coutinho corner.
Coutinho got the second after a one-two with Roberto Firmino, before setting up Divock Origi to lash in a third.
Derby offered little throughout, producing only two shots to test keeper Loris Karius on his Liverpool debut.
This was the fourth match the Reds have scored three goals or more this season – and they have netted 19 times in seven games overall.
Even seven changes from Friday’s 2-1 Premier League win at Chelsea did not halt their momentum.
One of those players to come in – Estonia defender Klavan – became the club’s 10th different goalscorer this season.
In contrast, Derby – struggling in 20th position in the English second tier – have now failed to score in seven of their 11 matches in all competitions this campaign.