Richard Keogh's own-goal in added time at the end of the first half sent Bolton into the break ahead.
But Jamie Ward headed his 10th goal of the season nine minutes from time to ensure Derby took a share of the points.
Freedman said: "It's a good point but maybe we're a bit disappointed after being in the lead.
"We've let a lot of points go from winning positions this season.
"We tried to go two up top with the strikers and go toe-to-toe with Derby, and we were quite comfortable at 1-0 up. But Derby got a deserved equaliser, I must admit that.
"There's more in us. People might think this is a good result for Bolton, but it's not quite good enough for me."