Band round off week long residency on David Letterman's 'The Late Show' with 'Sonic Highways' track
Band's fourth appearance on 'The Late Show' sees the perform 'Stiff Competition'
The track is the first to be taken from their upcoming 'Sonic Highways' album
Band also performed an exclusive version of 2005 song 'Miracle' for host David Letterman
Duo were joined by Foo Fighters' Taylor Hawkins on Monday night
Performance marks second night of Letterman residency
US band team up with Brown to perform 'War Pigs'
The track is the first from forthcoming album 'Sonic Highways'
A new US-only preview trailer has been made available
The band will perform every night next week in support of new album 'Sonic Highways'