Burnley duo Kevin McDonald and Martin Paterson vindicated boss Owen Coyle's decision to recall them to the side as they both scored in the win over Derby.
McDonald opened the scoring with a looping volley before Paterson's brace.
Both came from the same source, close-range finishes after crosses from the right wing by Chris Eagles.
The introduction of Nathan Ellington at half-time gave Derby more threat and Miles Addison had two decent chances but the home side were rarely troubled.
Burnley manager Owen Coyle:
"We have been in terrific form at home and in the opening period of the game our energy and movement meant we had four or five options.
"We looked a young, vibrant team, full of energy. It was important we went into the Arsenal game on a positive note and this sets us up in a nice position in the Championship."
Derby boss Paul Jewell:
"It was a flashback to last year when one goal led to another. We have made progress, but the last two away games we have conceded eight goals and we need to take our home form into away games.
"This was never going to be an easy season and whilst we have made some progress, I am not kidded.
"Last season we collapsed like a pack of cards and I thought we had got over that. I have no argument with the fans, I take responsibility for the team and it's down to me and nobody else."
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