Everton 2 // Liverpool 0
Everton ended a run of three Merseyside league derby defeats with a 2-0 victory at Goodison Park.
Goals from Tim Cahill and Mikel Arteta gave the Toffees a deserved victory in a typically fiery encounter.
The Australia international Cahill hooked home Seamus Coleman's near-post cross to give the hosts a deserved lead in the 34th minute.
It immediately sparked chants of 'going down' from the home fans, with Liverpool entrenched in the relegation zone even before the start of play after their worst start to a season since 1953 - when they were relegated.
Diniyar Bilyaletdinov replaced Leon Osman for the second half, which was only four minutes old when Everton went 2-0 up.
Sotirios Kyrgiakos' headed clearance only reached the edge of the penalty area where Arteta was lurking to smash home a brilliant swerving volley.
Liverpool, watched by new owner John Henry, were second-best for most of the game and remain rooted in the Premier League relegation zone.
The New England Sports Ventures owner Henry was among the executives from the Boston Red Sox ownership group at the 214th Merseyside derby.
NESV bought the 18-time English champions on Friday after the previous American owners, Tom Hicks and George Gillett, were ousted following a week of court battles.
Before the match, NESV chairman Tom Werner said manager Roy Hodgson's job is safe despite Liverpool starting the match in the relegation zone.
Werner said that "nobody can be pleased about the start of the season but the club ought to gel."