the fact that the device shows up on boot (in Bios?) is a good indication that the device is functional.
How did you know that the driver is running and up to date if you do not have the drive listed in your Device manager? I suppose you have installed an incorrect driver for your device. Also, please note that there is a difference between software for the drive and drivers for the drive.
If you have the model number and producer of your DVD drive, look it up on google in order to find and install the appropriate drivers.
i just might have a corrupted registry but it's easy to fix though just click on start - run - type regedit then press enter. In the navigation pane, locate and then click the following registry subkey:
HKEY_LOCAL_MACHINE then SYSTEM then CurrentControlSet then Control then Class then 4D36E965-E325-11CE-BFC1-08002BE10318
In the right pane, click UpperFilters and or LowerFilters then delete both of them (sometimes only one of either of this shows up, but that's ok)
After deleting filters restart the computer and that should fix the problem.
The operating system comes with a built-in CD drives. uninstalling the current driver and reinstalling the os drive should fix the problem. Also there is a Microsoft fix it, solution available for this problem.
HKEY_LOCAL_MACHINE then SYSTEM then CurrentControlSet then Control then Class then 4D36E965-E325-11CE-BFC1-08002BE10318
In the right pane, click UpperFilters and or LowerFilters then delete both of them (sometimes only one of either of this shows up, but that's ok)
After deleting filters restart the computer and that should fix the problem.