Attacker Doukara came on as a substitute on the half-hour mark, while Sunderland-owned defensive midfielder Bridcutt played for the entire 90 minutes.
“Doukara showed energy and passion for the game,” former Leeds striker Whelan told BBC Sport. “He did everything we expect from him; holding the ball up and keeping it simple.
“He was aggressive all game. The only thing for me that was missing from him, for me, was a goal.”
On the performance of Bridgett, who joined Leeds on loan from Premier League side Sunderland in November, Whelan said: “Liam Bridcutt was better in the second half. He was a bit of a bystander at fisrt but he came into it a lot more.”
Doukara took one shot, had a pass accuracy of 77%, created three chances, put in one cross, won 67% of his tackles and 100% of his headers, and made two clearances.
Bridcutt took one shot, had a pass accuracy of 86%, put in one cross, attempted one dribble, won 22% of his tackles, and made two clearances.
Leeds are 14th in the Championship table at the moment with 26 points from 21 matches.