If you want to disconnect the Bluetooth from your iPhone which is running on iOS 9 from the speaker or any other Bluetooth device, you have to either temporarily disable Bluetooth on your iOS device, or opt for the nuclear option of Forget this device in Bluetooth settings.
Through iOS 9 however, you now have a new option to actually disconnect from the device without jumping through hoops. The next time you encounter a situation where you want to disconnect from a Bluetooth device, open the iOS Settings app and select Bluetooth option from the list. Click on ‘i’ next the device name, then tap on Disconnect. For better understanding view the above screenshot. When ever Apple releases new iOS version then their will be small tweaks to the Operating System.