Bottom club County, with three losses in a row coming into the clash against in-form Orient, appeared to be up against it.
But Derry's troops more than matched the promotion-chasers with Nathan Tyson and Jamal Campbell-Ryce both coming closest to breaking the deadlock.
Derry was delighted with his players' response following their 6-0 defeat to Rotherham last week.
"We needed to bounce back in the right way after last week," Derry said.
"I didn't ask for miracles, I just asked for an honest performance and that's what they have given us.
"They have given us an honest week and backed it up with a performance which they need to consistently replicate from now until the end of the season.
"If we play like we did against Rotherham then nothing will happen, play like we did against Orient then we've got a hell of a chance.
"It's never been about ability because this club has ability running through its veins.
"It's about mental strength. We played the game with a real endeavour and a belief that we could get a result right until the very end of the game."