Tedenby's wrist shot past Cam Ward completed a New Jersey comeback that saw the Devils tie the game with 3 minutes remaining in regulation time on Nick Palmieri's marker.
Tedenby also found the net in the second period, Colin White added a pair of assists and Johan Hedberg -- starting in place of injured Martin Brodeur -- turned aside 20-of-22 shots for the Devils, who improved to 10-1-2 in their last 13 games.
Carolina, meanwhile, lost for the fifth time in six road contests.
Jeff Skinner scored twice and Ward ended with 31 saves in the Hurricanes' setback.
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