Yorkshire's innings started badly when Jacques Rudolph fell to a great diving catch at long on in the first over from Chaminda Vaas and it became 16 for two as skipper Andrew Gale drove to wide mid-off
and become the first of three victims for paceman Jack Brooks.
The Barbadian set the tone even before he got the chance to bowl when a fumble at mid-off
allowed Bopara through for a gifted single from the first delivery of the day - in a solitary over of spin from Sulieman Benn.
South African left-hander Rudolph then played some dazzling shots to narrow the gap with McGrath but after slamming Goudie for four and six off consecutive balls he attempted to drive over the top and was caught at deep mid-off
by Nel, the remaining runs knocked off by McGrath.
He survived a dropped catch by Marlon Samuels when on 34 but was eventually out-foxed by Jerome Taylor's slower ball and drove it straight to mid-off
When news of the win was broadcast over the public address, all-rounder Graeme Welch ran from mid-off
to cover in the middle of an over to claim his winnings from Moss, who coughed up pounds 25 with Michael Di Venuto and pounds 10 from physio Dave Harris.
Bell used his feet well against left-arm spinner Patel, driving him to the mid-off
boundary and after he had struck another four to reach 44, he offered a chance.
He did so with a push to wide mid-off
, in Andrew Hall's first over, before Jones miscued to mid-on to provide Andre Nel with a wicket.
Naqaash Tahir replaced Carter,and a mistimed pull looped to Nick Knight at mid-off
qargefter a mini collapse oniAfter some movement with the new ball and some swing in the steamy heat, conditions again favoured the batsmen and Derbyshire were cruising along until Di Venuto top-edged a pull at Greg Smith and was caught at mid-off
Thunder rumbled before he started, and rain fell as Jonno Whitney chipped to Marc Symington at mid-off
But when Katich was trapped in front by a Morne Morkel full toss, it prompted another mini-collapse as Clarke followed in the next over, lobbing spinner Paul Harris to Graeme Smith at mid-off
leaving Australia 172 for five at the interval.
Sangakkara - who reached his half-century off 60 balls - then put on 81 with Samaraweera before he nicked an inside edge off leg-spinner Danish Kaneria on to his pads and into the hands of Faisal Iqbal at silly mid-off