Wolves manager Dean Saunders admitted his team lacked the killer instinct in front of goal after Derby were stopped from scoring at home in the npower Championship for only the second time this season.
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In a game of few chances, Derby's Adam Legzdins was the busier of the two keepers but Saunders felt he should have been celebrating his first win since he took over at Molineux last month.
He said: "I thought we should have won again.
"But we didn't have that killer touch in front of goal today. We made enough chances and got enough balls into the box and we were solid and defended well.
"We did all the basics properly and on another day we win.
"We had a load of half-chances in front of goal and we've headed a few balls back into the middle but just not anticipated.
"That's where you need someone who's on their toes to anticipate and poke the ball in the net. But every point is vital and now we move on to Barnsley (on Tuesday night)."
Saunders acknowledged the influence of Kaspars Gorkss who delivered a commanding performance in the centre of defence following his loan move from Reading.
"I knew he would make a difference," he said.
"That's the first building block for me to get us a team that can first of all stay in this league and then try and win it next year."
Derby manager Nigel Clough was happy with the result achieved by a patched-up defence in which 19-year-old Michael Hoganson made his first start in place of the suspended left-back Gareth Roberts.
"It's a fair result against a Wolves side battling to stay in the division," said Clough.
"We don't have too many nil-nils here at Pride Park and in lots of ways it was a good one for us.
"Considering the back four we had out today, we had four centre halves missing and a first choice left-back out so it's a brilliant clean sheet."
Clough also felt his team had been psychically drained by the effort which had gone into two away games in the space of four days.
"On Wednesday morning when the stats confirmed how much effort had gone into the game at Hull on Tuesday night with all the running, there wasn't too much energy out there today and generally we were a bit flat to what we've been.
"But I think that shows progress because I think we would have lost that game in the last two or three seasons with the aerial advantage they had today."
Wolves started the game on the front foot and it needed a diving save from Legzdins to turn behind a Jamie O'Hara shot in the fourth minute for a corner which Danny Batth just failed to get his head to.
It took Derby 20 minutes to get into the game but there were no clear chances to either side in the first half and it took until the 55th minute before there was another serious attempt on goal with Bakary Sako forcing Legzdins into another diving save with a low drive from outside the box.
Wolves keeper Carl Ikeme had an anxious moment in the 73rd minute when Conor Sammon flashed a header just wide from a Michael Jacobs cross and the visiting fans held their breath in stoppage time when a Jamie Ward free-kick fizzed through the defensive wall but Ikeme saved low to his left.