The United boss also thought his side had created the better chances during the fast-paced encounter at Tannadice, but saw room for improvement.
"I still thought in the final third we didn't play particularly well.
"I was pleased with a lot of our midfield play and defensive play, apart from when we were a little bit kamikaze at the goal.
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"Our movement wasn't as good as it should have been in the box.
"We put some great balls in but at the same time we had a lot of set-pieces where we didn't really provide the quality we needed.
"We weren't at our best by any stretch of the imagination but it's a game a year so we probably would have lost.
"The players have certainly got a lot of character and they showed that by getting very quickly back into the match."