Goals from Britt Assombalonga and Marvin Johnson as well as an own goal from Matt Clake gave the Teessiders all three points against the Rams.
Our Boro writer Joe Nicholson has dished out his marks following the match – scroll down and flick through the pages of our picture gallery to see them:
1. Marcus Bettinelli - 7
Didn’t have much to do but made two important saves in the second half when Boro were only 1-0 up. 7 Photo: Alex Pantling
2. Anfernee Dijksteel - 8
Another solid display at right-back. Got forward on a couple of occasions but usually kept things simple. 8 Photo: Getty Images
3. Paddy McNair - 8
Played some probing cross-field passes in the first half and stepped out with the ball from the back when he could. 8 Photo: Alex Pantling
4. Dael Fry - 8
Another commanding display in the heart of Boro’s defence. Won headers, made blocks and helped Boro keep another clean sheet. 8 Photo: PA