Edmonton played the night before, but had the early jump on Arizona, scoring in the opening 3 minutes.
The Coyotes didn't stop once they got rolling and extended their point streak against the Oilers to 19 straight games (16-0-3), including six consecutive victories.
Oliver Ekman-Larsson got Arizona's offence started with a goal in the first period and Shane Doan scored in the second. Stefan Elliott scored his first goal since joining the Coyotes and Domi put it away with his eighth of the season in the third.
Smith was sharp following a strong performance against Los Angeles on Tuesday night, overcoming Tanner Hall's early goal with some spectacular saves.
Stay Connected
NHL.TV™
NHL GameCenter LIVE™ is now NHL.TV™.
Watch out-of-market games and replays with an all new redesigned media player, mobile and connected device apps.
Introducing the new official NHL App, available for iPhone, iPad and Android smartphones and tablets. A host of new features and improved functionality are available across all platforms, including a redesigned league-wide scoreboard, expanded news coverage, searchable video highlights, individual team experiences* and more. The new NHL App on your tablet also introduces new offerings such as 60fps video, Multitasking** and Picture-in-Picture.
*Available only for smartphones
** Available only for suported iPads