The Trotters conceded a late leveller at Pride Park as Rams striker Jamie Ward struck in the 84th minute to earn his side a point.
"It's a good point but maybe we're a bit disappointed after being in the lead," Freedman said.
"We've let a lot of points go from winning positions this season. There's more in us. People might think this is a good result for Bolton, but it's not quite good enough for me."
After the draw, Bolton are 16th in the Championship, four points clear of the relegation zone.