Derivers in Drupal are one of the ways in which you can inform Drupal about the presence of plugin types. This allows you to generate multiple custom types of a plugin so that it can be represented as multiple different plugins within the system.
Perhaps the most useful deriver example I have seen is the menu deriver. This allows us to use the Drupal plugin architecture to generate custom menu links.
If you want to create a menu link for your module then you would normally add them one at a time to a *.links.menu.yml file. This is an example of using the menu links plugin system to inform the menu system about the links you want to add.