Postpublished at 21:46 Greenwich Mean Time 29 January 2016
Derby 1-3 Man Utd
Rooney curls in superb 18-yard effort
Thorne replies with close-range finish
Blind restores Utd lead with low drive
Mata slots in from eight yards after Martial pass
Tom Rostance
Derby 1-3 Man Utd
#bbcfacup
Nico: Two offside goals, Sir Alex must think he is in charge again!
Dave, Belfast: Was Martial offside? I thought there had to be daylight between the two players.
Ravi: Will winning the FA cup be the catalyst to a new era of Utd dominance again? Watch this space...
Derby 1-3 Man Utd
Muted applause from the stands as Manchester United complete a win over a tepid Derby County. It was comfortable in the end for Louis van Gaal. Not something he's used to these days.
Derby 1-3 Man Utd
"Only a matter of time," said our man Danny Murphy. A matter of time for what? For Anthony Martial to tee up the United third.
Here's why. The Frenchman has been the scourge of the Derby defence, tormenting right-back Cyrus Christie as shown by virtually half of away attacks going down that flank.
Derby 1-3 Man Utd
I'd play Cyrus Christie on the right wing, not at full-back. He is a real menace going forwards, as he beats his man brilliantly but this time can't clear the first defender.
There are three added minutes.
#bbcfacup
Andy, Armagh: Anthony Martial is the one glimmer of hope in this difficult season for Manchester United. He has had the Derby County right-back on toast all night. A beautiful footballer to watch, he seems to just glide across the turf.
Anthony Martial looks to be offside in the build-up to United's third goal. Derby will rue the fact that two of the goals could have been flagged.
Derby 1-3 Man Utd
Anthony Martial was a shade offside when he received the ball in the build-up to that goal but he had lots to do before the ball hit the net.
Derby will look back on tonight with plenty of regret. They never once had United rocking under sustained pressure - and this United side was there to be shot at.
Derby 1-3 Man Utd
Here's a thing you don't expect from Louis van Gaal's team - a centre-back marauding into the opposition area.
It worked though. Fine finish from Daley Blind.
Derby 1-3 Man Utd
Danny Murphy
MOTD pundit and ex-Liverpool midfielder on BBC One
"Cyrus Christie has tried his best to contain Anthony Martial without much help but it was only a matter of time. It is so hard to stop him and this time he picked Mata out.
"Lovely awareness from Martial. His final ball hasn't always been right but if you keep getting into positions, then it'll happen."
Derby1-3 Man Utd
Have United fans got what they wanted tonight?
#bbcfacup
Stu Richards: Really disappointed with #dcfc this evening. No disgrace in losing this tie but at least give it a good go.
Varun Sharma: If we win it doesn't change our season and our form, we are still poor, the form derby showing we should have scored 3-4 goals!!
David Huntley: Martial and Rooney have looked dangerous but been a poor Derby performance. Haven't pressed Utd high enough to encourage errors
Juan Mata
Poor old Cyrus Christie. The Derby right-back has been in trouble all night against Anthony Martial and the £36m forward just breezes past him again. This time he has the composure and the quality to find Juan Mata inside and the Spanish midfielder pings it home into the side-netting.
Tie over. Manchester United into the hat.
Text 81111
Anon: Manchester United so much better tonight. Manager would be blamed if they lost and get no credit if they win. Good tactics and performance.
Derby 1-2 Man Utd
Cyrus Christie with another brilliant ball in! Bend, whip, it's heading for Chris Martin but well done Chris Smalling as he cuts it out and then holds his calf. Injury?
Derby 1-2 Man Utd
Derby's changes mean that they will inevitably have fewer bodies back minding the shop and Wayne Rooney almost picks the pocket of Richard Keogh - he would be clear too but a foul is given.
Can the Rams put on enough pressure at the other end?
Derby 1-2 Man Utd
Danny Murphy
MOTD pundit and ex-Liverpool midfielder on BBC One
"Looks like Thomas Ince has gone into that number 10 position following that double change."
Derby 1-2 Man Utd
Derby throw on Jeff Hendrick and Johnny Russell as they chase an equaliser in the final 15 minutes.
Derby 1-2 Man Utd
Michael Carrick is now on for the final 20 minutes, replacing Morgan Schneiderlin in midfield. Will he just control the game from here?
Derby 1-2 Man Utd
This is where Daley Blind came from. You can see that the United number 17 had a couple of touches close to the halfway line, the second to Wayne Rooney (10) before getting on his bike into the box. And that's where he met Jesse Lingard's cross to stick the away side ahead.