Martin ended last season as the Rams top scorer, unfortunately missing out on promotion to the Premier League.
However, his performance should have been capped with a hat-trick, were it not for Andy Lonergan saving a ninth minute penalty from the Scottish international. The save mustered a solid performance from Bolton throughout the opening exchanges, although their resilient defence was broken by Martin just before half-time - before he doubled his tally in the second period.
Not wanting to let his penalty miss overshadow his game, Martin told the Derby Telegraph that the miss galvanised his performance, making him want to attack every ball with more passion.
The 25-year-old said: "Obviously, it was disappointing not to score the penalty.
“I want to score every single minute I’m on the pitch, so I wouldn’t say it made me more determined.
“But I suppose maybe it gives you that extra bit of bite as you’re attacking the ball.
“In those situations, I think you have to try to back yourself even more and remain confident and calm, so you can deliver when the chance comes along.”
Rather than wanting to take the praise for the performance, Martin was pleased with how the entire team worked together to claim a valuable three points after a tough game.
He added: “It was a very good performance, from front to back.
“Every man played well and it was a professional display from us.
“I thought we defended very well and kept chances against us to a premium.
“We also attacked very well at times and played some great football.
“It was a thoroughly deserved win.
“I think it’s a massive three points for us."