Rodrigo Riquelme's first Bournemouth goal kept the Football League's last unbeaten record alive as the Cherries rescued a late point on Wayne Rooney's return from self-isolation for Derby.
The 20-year-old Spaniard, making a third substitute appearance on loan from Atletico Madrid, guided home Diego Rico's cross on the volley to reward second-half pressure from the hosts.
Rams keeper David Marshall had earlier pushed an Arnaut Danjuma shot on to the post to preserve Derby's lead, given to them by Graeme Shinnie's prodded finish after a Rooney free-kick.
Derby could have snatched all three points even after Riquelme's late leveller but Lee Buchanan's effort was cleared off the line by Bournemouth defender Steve Cook.