"He is right man for this club at this time, he has created a fine legacy at Burton and wants to do exactly the same at Derby. He sees it very much as a long-term project.
"There was no sentiment or romance involved in the appointment, you can't have that in football. He's tough enough to take the club forward in his own style."
Clough, who also played for Liverpool and Manchester City before becoming player-boss at Burton in 1998, faces a tough task in following in his father's footsteps at Derby.
Brian, who died in 2004, took the club from the old Second Division to become champions of England and European Cup semi-finalists during his spell in charge between 1967 and 1973.
The Rams, relegated from the Premier League last season, are currently five points above the Championship relegation zone.
Burton chairman Ben Robinson, speaking before Clough's appointment was confirmed, said he always knew the former England striker would eventually join a bigger club.
He told BBC East Midlands Today: "We can never repay him for what he's done for the club."
Burton are currently 13 points clear at the top of the Blue Square Premier and on course to reach the Football League for the first time in their history.
They have won their last 10 league games, and Clough was named as the division's manager of the month for December.
Jewell's assistant Chris Hutchings had been in temporary charge of Derby, but he has now left the club so academy manager David Lowe will be in charge for the Carling Cup semi-final first leg at Pride Park.
This page is best viewed in an up-to-date web browser with style sheets (CSS) enabled. While you will be able to view the content of this page in your current browser, you will not be able to get the full visual experience. Please consider upgrading your browser software or enabling style sheets (CSS) if you are able to do so.