City boss Nigel Pearson makes two changes to the side that was beaten at Leeds on Tuesday night.
Paul Konchesky returns at left-back in place of teenager Jeff Schlupp and Anthony Knockaert is preferred ahead of Ben Marshall on the right of midfield.
Schlupp and Marshall drop to the substitutes' bench, where they are joined by top-scorer David Nugent.
He is a surprise inclusion after Pearson had said on Thursday that he was unlikely to feature because of a neck injury.
6 min: GOAL 1-0 Martyn Waghorn delivers a great corner into the box and centre-half Zak Whitbread heads home unopposed. It is the first goal City have scored from a corner since the opening day of the season.
10 min: Waghorn bends a free-kick around the wall from 25 yards and almost catches out Adam Legzdins, who palms it around the post for a corner.
11 min: BOOKING Paul Coutts is given a yellow card for deliberate handball on the corner of the Derby box.
12 min: Waghorn takes a corner and swings it in. It deceives Legzdins and bounces off the top of the bar. Waghorn is on fire this evening.
16 min: City are totally on top and Jamie Vardy flashes a shot wide after an excellent spell of pressure from City.
18 min: A spectacular scissor-kick in mid-air from Waghorn produces a good save from the over-worked Legzdins. It came from a great cross from Lloyd Dyer.
23 min: GOAL 2-0 It was inevitable that City would score and it is Waghorn, who taps home the second after a fantastic sweeping move. Anthony Knockaert started the move with a brilliant piece of skill to beat James O'Connor and then pull it back to Vardy, who slipped Waghorn in with a clever pass.
26 min: Vardy capitalises on a Derby mistake and beats Richard Keogh but cannot beat Legzdins, who saves with his legs.
27 min: It is total one-way traffic and Derby keeper Legzdins is really earning his money. This time he has to tip a curling Knockaert shot over the bar.
33 min: Coutts tries his luck from long range but it is an easy save for Kasper Schmeichel. It is Derby's first shot on goal and is greeted by ironic cheers.
34 min: City have dropped off the pace a little and Michael Jacobs again tries to test Schmeichel from distance.
38 min: GOAL 2-1 Derby are back in this and it is Theo Robinson, who beats the City offside trap to latch on to Jacobs' great pass and fires past Schmeichel. It's the first goal City have conceded from open play since the draw with Nottingham Forest.
41 min: Conor Sammon breaks past Whitbread and has a great chance for the equaliser, but Schmeichel saves well with his feet.
45+2 min: Schmeichel is called into action again to push away a Robinson shot at full stretch after the big Rams striker is able to turn on the edge of the City box.
HALF-TIME: City 2 Derby 1. For 30 minutes, City were totally dominant and looked on their way to a comfortable victory but they have allowed Derby back into the game.
57 min: Dyer does brilliantly to stay on his feet and get a shot in that Legzdins can only palm out to Knockaert, but the ball strikes the Frenchman on the arm and the chance is gone.
62 min: Schmeichel makes a great save to deny Robinson from close range after Sammon had done well to fire in a dangerous cross. Pearson is trying to kick-start his side again as Derby have looked the more dangerous side in the second-half.
67 min: SUBSTITUTION: Nugent is on for Vardy and Marshall for Dyer.
74 min: GOAL 3-1 The two subs combine. Nugent scores with a far-post header after a great run and cross from Marshall.
80 min: SUBSTITUTION Matty James on for Knockaert.
82 min: City carve Derby open and Ritchie De Laet is in, but John Brayford does brilliantly to block his shot.
89 min: GOAL 4-1 Nugent again. City break and Danny Drinkwater has a shot blocked. It falls to Nugent who strikes his 11th of the season.
FULL-TIME: City 4 Derby 1. City had a lull in the middle of the game but have run out deserved and convincing victors.