Unfortunately, this useful feature hasn't landed in the stable branch yet.
A speaker icon should be visible next to the tab's name. To mute a tab in Microsoft Edge in Windows 10, do the following. Thankfully, this situation has changed with Windows 10 Build 17035. While Edge already displayed a speaker icon on the right side of any tab that played audio, you couldn't click on it to mute the tab until now. In Windows 10 Fall Creators Update, the browser has been updated with Fluent Design.
In Windows 10 Creators Update, Edge got support for tab groups ( Set Tabs Aside). The browser now has extension support, EPUB support, a built-in PDF reader, the ability to export passwords and favorites and a number of other useful functions like the ability to go Full screen with a single key stroke. Edge got a lot of changes with recent releases of Windows 10.