"The first-half performance, especially, was excellent," he said. "We created a lot of chances and scored two good goals."
United keeper Dusan Pernis produced two fine saves to deny Sone Aluko and David Healy, but the visitors were sharp in front of goal and took their chances.
"We didn't play as well in the second half, but I'm maybe being a wee bit picky.
"We still looked dangerous on the counter attack and restricted Rangers to not a lot. Pernis had two good saves from Healy and Aluko in the first half and that's where you need your goalkeeper to keep you in the game.
"We've got a nice balance between youth and experience. It's taken a while to come together but this was always going to be a transitional season. We've stiill got a lot to do to secure a top six place in the SPL.
"But it's nice to come to Ibrox and record a victory. We kept attacking and kept two up all the time."