Last updated on .From the section Championship

Martyn Waghorn took his season's tally to seven league goals with his hat-trick against Rotherham

Derby enhanced their Championship play-off hopes as Martyn Waghorn's hat-trick powered them to their biggest win of the season against a poor Rotherham side. 

Waghorn gave the Rams an early lead from the penalty spot after Mason Mount was tripped and then nodded home within three minutes of Bradley Johnson's header doubling Derby's advantage. 

Mount scored with a tidy finish from Jayden Bogle's cut-back after the break before Richard Wood headed in a consolation from Joe Newell's corner. 

But Duane Holmes tapped in a fifth, and Waghorn ensured Derby scored six for the first time at Pride Park with his second penalty after Tom Lawrence was brought down. 

Frank Lampard's side were looking to revitalise a stuttering play-off campaign, while the Millers were keen to end a miserable run of seven straight league defeats at Derby after chalking up their first league away win of the season on their previous outing. 

The hosts started impressively, but Rotherham almost levelled when Bogle cleared off the line from the in-form Semi Ajayi, who was inches away from a ninth goal of 2019 from a Newell corner. 

But United saw their hopes of climbing out of the bottom three sunk by half-time, with their frustration typified when team-mates Jon Taylor and Jerry Yates squared up to each other. 

Despite being out for almost two months with a hamstring injury, Chelsea loanee Mount hit the ground running on his return and was instrumental in the Rams' rout, keeping the hosts ticking and the tempo high. 

Newell impressed for the the visitors and his chip hit the bar, but the Millers were already a well-beaten side by that stage and remain third-bottom, a point behind Millwall. 

After a run of three straight league defeats, Derby are now four matches unbeaten and moved into the final play-off spot ahead of Middlesbrough, who slipped to eighth after losing to Norwich. 

Derby County manager Frank Lampard said:

"The performance was top level and I'm delighted with the goals because we've been playing pretty well at times but not scoring enough which has been a problem recently. 

"When we play like that we are going to give everyone in this league a tough game. 

"When you are on top, you have to take your moments and we did that and killed the game very early. 

"My message at half time was not to come off it because I wanted them to make a bit of a statement, and I'm not talking about statements to everyone else but to ourselves and what we can do." 

Rotherham manager Paul Warne told BBC Sheffield:

"I don't think 6-1 flattered them if I'm honest, but I don't remember my goalkeeper making many saves either. 

"I'm disappointed and a little bit embarrassed because I don't think that sums up our season, it's not how we are. 

"I'm not blaming the lads, it's my fault.  I prepared the team with the coaching staff, we prepare the tactics, but the simples weren't very good today."