Datsyuk recorded points on each of Detroit's first four tallies, setting up Brett Hull and rookie Henrik Zetterberg during a three-goal second period and scoring goals of his own in the second and third.
Defenseman Nicklas Lidstrom also scored for the Red Wings, who have totaled at least five goals in each of their last five games. They have earned at least a point in nine straight (8
Detroit played without its captain, Steve Yzerman, who was held out of back-to-back contests. He is expected to play Monday in Columbus.
Defensemen Teppo Numminen and Drake Berehowsky scored for the Coyotes, who remained six points behind Edmonton for the eighth and final playoff berth in the Western Conference.