Steven Gerrard' s men made it eight consecutive wins in the Scottish Premiership with a 2-1 victory as they were made to work for the three points at Tannadice.
James Tavernier gave the visitors the lead with a world-class free-kick but they were soon pegged back with Liam Smith equalising for the hosts after a deep cross from Jamie Robson.
The league leaders pushed themselves in front for good a minute before half-time as Tavernier turned provider, crossing for Connor Goldson to head home.
Player ratings scale - 10: One of best performances you've seen. 9: Outstanding. 8: Very good. 7: Good. 6: Average. 5: Poor, 4: Very poor. 3: Terrible day at office. 2: Abysmal. 1: One of worst performances you've seen.
The league leaders pushed themselves in front for good a minute before half-time as Tavernier turned provider, crossing for Connor Goldson to head home.
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Connor Goldson celebrates after netting the winning goal for Rangers. Picture: SNS Photo: Alan Harvey - SNS Group
. GK - Allan McGregor - 6
Didn't have too much to do and couldn't do anything about the goal. Almost punished for a bit of miscommunication with Leon Balogun in the first half. Photo: Craig Foy - SNS Group
. DR - James Tavernier - 9
Scored an incredible free-kick, crossed for the winning goal and was always a threat going forward. Didn't put a foot wrong defensively either. Photo: Craig Foy - SNS Group
. LB - Borna Barisic - 6
One of the quieter games from the free-crossing Croatian. Photo: Craig Foy - SNS Group
. CB - Connor Goldson - 8
Netted the winning goal and had a very impressive second-half performance in a defensive sense. Photo: Craig Foy - SNS Group
9. AMR - Kemar Roofe - 6
The in-form attacker didn't threaten as much as he would've liked as he was largely utilised in a link role. Photo: Alan Harvey - SNS Group
10. FC - Alfredo Morelos - 5
Struggled badly in front of goal and was lucky not to be sent off early in the match. Did have some decent movement and link-up play. Photo: Craig Foy - SNS Group
11. AML - Ryan Kent - 7
Drifted in and out of the game but put a number of dangerous balls into the penalty box. Photo: Rob Casey - SNS Group
12. Sub - Cedric Itten - 6
He was a little hit and miss with his play while leading the line after coming on for Morelos. Photo: Craig Foy - SNS Group