When operating a Tableau Server the database drivers will need to be installed on each worker with the one of the following processes.
- Application Server (Vizportal)
- Data Server
- VizQL Server
Source: Database Drivers - Tableau
There is not currently an automated process for installing or synchronizing the drivers across the nodes that is built into Tableau. Please share this as Idea to the Community Ideas forum: Ideas
I know there are some admins who script these installations so when they update their drivers they run the script and it updates all of their workers at once. But this is outside of my realm of knowledge and I could not speak very well to the process of setting these scripts.
Hope this helps!