Blackpool were without Gary Taylor-Fletcher, Joe Martin and Ian Evatt, with nine players in total currently out injured.
But Campbell shot home from Ian Evatt's headed flick to make it 1-0.
Jonas Gutierrez opened the scoring with a strike that deflected off Ian Evatt before Andy Carroll headed home a free-kick from Danny Guthrie.
The visitors' undoing was caused by a diagonal ball from the right which was nodded into the six-yard area by Ian Evatt and finished off by Campbell.
Derby were now posing much more attacking threat and shooting on sight in their search for an equaliser, with Ian Evatt and Izale McLeod firing just off target.
Dembele appeared to foul Ian Evatt as he chased Damien Duff's pass, but referee Mike Oliver waved play on and he crossed for Zamora to head emphatically beyond Gilks.
The visitors did go close early on when former Cardiff striker Michael Chopra fired goalwards from 12 yards, but his effort was blocked by Ian Evatt six minutes in.
With Evatt off the field following treatment, Elokobi found space on the left and whipped a cross into the danger area, and the Republic of Ireland striker crashed his header home.
Some comical defending involving two terrible clearances saw Kingson called on to block Welbeck's strike and then Evatt made amends for his shocking miscue by heading Bent's powerful follow-up over the bar.
Taylor-Fletcher struck the post from 20 yards after 39 minutes but a minute later he stabbed home from a corner after Mark Kennedy had cleared Ian Evatt's initial effort off the line.
Seamus Coleman drove across the pitch from the right wing and laid the ball off for Evatt, whose cross took a deflection and fell nicely for Southern to finish from six yards.
The irrepressible Parker burst down the left and squared the ball for Barrera to shoot straight at Evatt's legs and Barrera was again involved as substitute Cole deflected a shot on to the post.
Clever interplay on the right allowed Neal Eardley to deliver the ball into the box and when his cross was flicked on by Evatt, Campbell was on hand to fire home from 10 yards.
Hahnemann gave Wolves fans a scare shortly afterwards when he allowed a long-range shot from Evatt to slip through his fingers, but the goalkeeper recovered in time to collect the ball as it trickled towards the goal.
They might have fallen behind after only 90 seconds when home defender Ian Evatt's header appeared destined for the top corner but Michel Salgado headed the ball on to the underside of the bar before it was scrambled clear.
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