I'll give you all possible fixes for External Drive not detected. Even if you've tried one please try it again in sequence and report back results. I'll be standing by to help you here:
Right click Start button to open Disk Management, scroll down to try to find the drive on the map by size and label, right click on it to assign a drive letter so it's detected in File Explorer.
For USB drive not detected issue, first try steps here: https://mspoweruser.com/solved-usb-device-not-recognized-windows-10/
Go into Device Manager to look for the drive under Disk Drives. It may be listed by it's model or Serial which you can google to determine which is it. Click on the Device, then Driver tab, choose Roll Back if available. If not then choose Uninstall, restart PC to reinstall driver. If that fails choose Update Driver, first Automatically, then if that fails choose Browse > Let Me Pick to try all previous drivers.
If no newer or this doesn't help, then go to the USB category in Device Manager, open each Enhanced, Hub and Host controller, from Driver tab select Roll back if available, or if not choose Uninstall.
If your keyboard and mouse are USB, first program the power button to effect the needed restart after Rolling back or uninstalling the driver. Go to Settings > System > Power & Sleep > Additional Power Settings > Choose what Power buttons do to choose Shutdown.
Test the drive using diagnostics to know for sure it's condition: https://www.lifewire.com/free-hard-drive-testing-programs-2626183
Follow this up with a DIsk Check from the Command Prompt if necessary: https://www.groovypost.com/howto/check-hard-drive-fix-failures-windows-10/
If the drive is detectable at all then you can rescue your files from the Command Prompt like this: http://answers.microsoft.com/en-us/windows/wiki/windows\_10-update/rescue-files-when-windows-wont-start/862c143f-9239-4e63-8968-635e8ba9efd6
You can check which Updates were installed just before this happened, then uninstall them at Settings > Update & Security > Windows Update > Installed Update History - look first for installed drivers. Then you can hide these Updates using the Hide Updates tool: https://www.howtogeek.com/224471/how-to-prevent-windows-10-from-automatically-downloading-updates/
You can also try to System Restore to a point before this happened, then check for Updates using the Hide Updates Tool to block the Updates offered: http://home.bt.com/tech-gadgets/computing/how-to-fix-windows-10-problems-with-system-restore-11364008291943
Check if the drive is detected in another PC. If so back up the data to it's desktop.
Then plug it back into the PC which cannot detect it, reformat in Disk Management:
http://www.wikihow.com/Format-an-External-Hard-Drive
I hope this helps. Feel free to ask back any questions and let us know how it goes. I will keep working with you until it's resolved.
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