The pressure was on after defeats against Sunderland and Everton in the first days of the Barclays Premier League campaign.
Those results naturally led to disappointment for all concerned but the lads put things right by storming out of the traps against the Rams at the Lane.
Steed Malbranque was pivotal with two fine goals and when Jermaine Jenas added a solo third inside the first 15 minutes, the points looked in the bag.
Further chances came and went, Wayne Routledge's 'goal' was wrongly chalked off for offside, Darren Bent was turned down what looked a nailed on penalty and Steven Bywater made a number of saves before the fourth finally arrived via Bent's first Spurs goal 10 minutes from time.
"All I wanted was a reaction because if you want to do better, you show that," said Martin. "It's a normal thing because they are professionals but it's a pleasing thing as well.
"If you don't have that, you have no chance and you might as well stay at home.
"Everyone showed me that they want to do well and do well for the supporters, that's the main thing. They were right behind us again."
Martin felt the players stepped up a gear from the loss against Everton on Tuesday night.
"There were a few reasons," added Martin when asked about the improvement. "There was more rhythm from the players who played against Everton, a lot didn't play games before that.
"We had five players out in pre-season, okay, we could cope with that but then we lost another four players. All the clubs will have to deal with the same thing.
"Young-Pyo Lee gave us an outlet on the left and if you don't have a left-back, it's not easy. At this level, teams will force you to build-up over that flank but Derby couldn't do that because Young-Pyo is comfortable on the ball. We looked better on the ball, no-one panicked and it showed.
"It was a terrific performance, just what we wanted."
Martin Jol got the reaction he wanted and expected as we claimed our first points of the season with a convincing victory against Derby on Saturday.