Derbyshire's second innings score of 170 set a target Kent could not achieve and they finished on 113 to give Derbyshire 43 run victory.
Ponting amassed 87 in Australia's first innings score of 577.
Daniel Vettori's first innings score of 110 was his sixth century in Test cricket.
He scored almost 35,000 runs as a batsman, including 52 centuries with a highest innings score of 198.
Jayawardene added 66 to Sri Lanka's first innings score of 952/6, the highest Test score ever.
Kent's second innings score was 78 and Derbyshire reached 119 to win with three wickets to spare.
Hassett's second innings score of 64 took his total to 402 runs (at an average of 57.43), making him the leading run-scorer for the series.
In the final he added to that tally with a second innings score of 93 to help his side to a 95 run victory.
Australia increased their lead with a second innings score of 395, thanks again to Steve Waugh's century, 116 runs on this occasion.
Ironically, it was the highest fourth innings score of his Test career.
