A superb solo effort from Jamal Campbell-Ryce after half an hour was followed by two late goals from Jack Grealish and Callum McGregor as the Magpies secured their first win in four games.
They are still in the relegation zone but after moving up one place Derry insists the future is bright.
"We understood what type of system Bradford were coming with and what their strengths are," Derry said.
"At times there was an element of frustration in the building - from our fans, from ourselves and from the players.
"But we stuck in there, defended like Trojans and scored three goals by playing some great stuff.
"This league isn't nice all the time and we have to be able to adapt to that.
"I know how we want to play and the lads definitely know how we want to play. We need to be able to mix it.
"We have to set our stall out and get out of the bottom four as quickly as possible, then see where it takes us.
"We are down there, we are second from bottom and it's not nice to read - but it's better to read knowing we're off the bottom of the table."
Campbell-Ryce lifted the Meadow Lane gloom after 32 minutes, taking possession midway inside the Bradford half and passing three defenders before guiding home a precise low strike from the edge of the box.
The game was safe for the home side in the 88th minute when Campbell-Ryce and Grealish combined to release McGregor, who calmly slotted his 12th goal of the season.
Grealish, on-loan from Aston Villa, then profited from Enoch Showunmi's persistence and slid home an injury-time third for County as the Bantams winless run was extended to seven matches.