The Serbian was part of a leaky Blues defence which conceded five at home in the league for the first time since 1989.
"The whole team is angry and we have to show the reaction and our character, to change things for us," Ivanovic told Chelsea's website.
"It was a big derby and when you lose you cannot be happy. As a defender I can never be happy with conceding five goals."
"The good side is we know where we made mistakes and we can try everything to make sure it does not happen again."
The derby loss to Arsenal is Chelsea's second straight league defeat on the bounce following their 1-0 loss to QPR. It's not a position Chelsea fans will feel comfortable with, having seen their hopes of winning the Barclays Premier League trophy evaporate in the last campaign on the back of a poor run of form in mid-season.
"It is not usual to lose two games but we are stronger than last year when this happened. You have to work hard and do your proper job, doing proper things on the pitch," he said.
He added: "We are playing more attacking football but when you finish a game at home 3-5 it's a defensively poor game."
"Words don't need to be [spoken] - every one of us has to look in the mirror, to be honest with how we played defensively and of course we know where we made mistakes."
"This could be one of the most important things in our season, after this game. I think it's a great reaction of the group and it will be good to show how we are strong."
Chelsea can set aside the memories of Saturday's defeat with a win on Tuesday night when they resume their UEFA Champions League campaign at Genk.