However, the England skipper admits that he is content with a point against the Toffees.
"We all wanted [a goal] at the end, mainly for this fella [Jamie Carragher] playing in his last derby," Gerrard told Sky Sports News.
"Everton have improved a lot. They've had a good season and are difficult to beat and that sums our season up in a way.
"We played well but lacked the cutting edge against the sides above us. We'll take a point but we're slightly disappointed it wasn't three."
Liverpool travel to Fulham in their next match on Sunday.