The Hoops midfielder was pleased his side made up for their last London derby - the 6-0 defeat at Fulham - but praised Chelsea for their reaction to going down to nine men
The former Crystal Palace captain saw his side hold off the Premier League title challengers thanks to Heidar Helguson's first half penalty, while the visitors had Jose Bosingwa and Didier Drogba sent off.
“It was passionate, which is what you want in a derby," Derry told Sky Sports. "We really let ourselves in the last derby we played [6-0 loss to Fulham] and we’ve put a few smiles on people’s face today. This means everything to us, absolutely everything.
“We’re 1-0 victors over our fiercest rivals and this means absolutely everything to the club. It’s a monkey off our back getting the home win, but more importantly we beat Chelsea, it’s fantastic.”
Bosingwa was dismissed for a tug on Shaun Wright-Phillips and Drogba soon followed for a two-footed lunge in a crazy opening 45 minutes for the visitors, but Derry was impressed with Chelsea's reaction.
“The dynamics of the game changed massively when they went from 11 to nine men very quickly and sometimes it knocks you off your track.
"But the second half it was [turned] on its head and you’d have thought they had 11 and we had nine."