“It’s disappointing. It’s not really easy to put in words the emotions myself and the players are going through.
“We have to be better than that and it’s not acceptable, we know that and they know that, and we’ll take this on the chin.
“But there’s no doubt, that’s not acceptable.
“Dundee were particularly aggressive, there was an organisation to them and they tackled hard. We didn’t match that till half-time.
“It’s incredibly frustrating. I didn’t think we got any control on the game or managed to disrupt their pattern and shape.
“Dundee had made the game what they wanted it to be.”
Murty is likely to be still in charge on Friday night when the Gers travel to take on Inverness Caley Thistle in the Highland capital.
Murty said: “You saw a team that have struggled to turn it around when things went against them. When your confidence takes a knock that can be a symptom.
“But there are more than enough characters in the squad to turn it around.
“We just need them to come to the fore, grab the game by the scruff of the neck and change the manner of it.
“There’s a long way to go. If we apply ourselves and hit maximum heights anything can happen. Right now I’m just thinking of this game.
“The far-reaching bits of the league and who’ll finish where – I’m not concerned with that.”