Leon Clarke scored all four goals as the Blades romped to another Yorkshire derby win.
The striker scored all four in the second half as the Blades came from behind to win.
Blades boss Wilder made five changes in total with Moore, Wright, Fleck, Duffy and Sharp all starting. Blackman missed out through injury and Baldock failed a fitness test on Friday. Lundstram, Brooks and Donaldson dropped to the bench.
There was a nervous early moment in the Hull defence when Tomori missed his kick, trying to cut out Basham's cross and then a Stevens cross put the visitors under further pressure but McGregor saved from Sharp and Clarke's penalty claims were ignored.
A short spell of pressure for Hull saw Grosicki's dangerous ball slide across the box and then O'Connell blocked from Bowen and Moore dropped a cross before atoning by pushing away Larsson's long-range effort.
On 19 minutes the Blades went close to opening the scoring. Duffy got the better of Bowen and provided a great cross for Clarke to win but McGregor made an impressive close-range save.
The importance of the save was underlined when Hull netted with their next opportunity, just before the half hour. Irvine nipped in to rob Coutts and the visitors moved the ball quickly through the middle before GROSICKI fired a 30-yarder over the head of Moore.
United took a while to regain composure and there was a penalty appeal scare when Wright appeared to handle but from the resulting break, McGregor produced another fine save, tipping over O'Connell's drive.
Another Hull break saw Tomori attack down the left but Grosicki could not connect as well as he did for the goal and the later stages of the half belonged to the Blades.
Bowen headed out from under his own crossbar from Fleck's cross and the same Hull player deflected a Coutts shot away from the subsequent corner. In the three added minutes, the Blades won a series of corners and from the last, a short, quick effort, Coutts laid off and Duffy sliced wide.
United made a blistering start to the second period. Clarke's header from Fleck's free-kick was clawed away by McGregor and Stevens, with space in the box, fired over. The leveller, though, arrived on 53 minutes.
A patient build up saw Fleck and Coutts both have important touches in the middle of the park before Basham played in the overlapping Carter-Vickers to deliver to the front post for CLARKE to beat his marker, sliding the ball beyond McGregor.
The Blades were clearly in the ascendancy with the backing of the Kop, but Hull remained a threat on the break and Stevens produced a timely tackle to keep out Campbell.
A corner routine on 69 minutes saw Duffy and Fleck link up to present a chance for Clarke but he could only find the sprawling body of McGregor and then Hull broke away quickly with Wright producing a fantastic tackle to stop Tomori.
The home momentum continued and there were good chances on 74 and 75 minutes, before lead was grabbed on 76 minutes. Firstly, Clarke and O'Connell combined for Sharp but his effort was blocked by Clark and from the resulting Duffy corner, O'Connell's power header was wide.
But Duffy's simple pass through the defence saw CLARKE lift the ball over the advancing McGregor into the Kop goal. Soon after, Clarke and United made it three. This time Sharp provided the cross from the left and CLARKE was well-positioned at the back post to head home.
Brooks and then Lundstram were introduced but Clarke was not done. This time Moore's long clearance was not dealt with by Dawson and CLARKE was again in the right place at the right time to sidefoot beyond the hapless McGregor.
There was just one more act for Clarke... to be substituted to a standing ovation in injury-time as the Blades celebrated a famous win.
Blades: Moore, Stevens, Fleck, O'Connell, Basham, Clarke (Donaldson 90), Sharp (Brooks 83), Wright, Coutts, Carter-Vickers, Duffy (Lundstram 86)
Unused: Stearman, Lafferty, Eastwood, Carruthers.
Hull: McGregor, Irvine (Henriksen 83), Grosicki, Meyler, Larsson (Stewart 64), Bowen, Dawson, Clark, Campbell (Dicko 71), Tomori, Aina.
Unused: Marshall, Diomande, Clackstone, Lenihan.