Giles Barnes gave Derby a sixth-minute lead at Newcastle, but Viduka equalized in the 27th. Kenny Miller then threatened an upset by restoring Derby's lead in the 52nd minute but Viduka made it 2-2 with a low shot from the edge of the area.
The point gained and Blackburn's loss meant Newcastle climbed two spots to ninth. Derby now has seven points, but remains six behind next-to-last Wigan, which drew 1-1 with Fulham on Saturday.
In Sunday's other games, fourth-place Manchester City was held 1-1 by Aston Villa and Liverpool outplayed Portsmouth 4-1 with Fernando Torres scoring twice.
Elsewhere, it was: Bolton 3, Birmingham 0; Middlesbrough 1, West Ham 2; Reading 2, Sunderland 1.
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