How much free data storage space is left on your iPhone?
iDevices need to always maintain, at the very least, between 2-3 GBs, OR GREATER, of free data storage space.
In Settings app, under General settings, Reset panel, at the right bottom of the list, Reset All Settings.
In Settings App, Battery, check to see if any apps/processes are eating up your battery.
In Settings App, General,Reset, Reset Network Settings, try resetting your network settings.
Try re-adjusting your iPhone’s screen brightness to a lower, but still comfortable intensity.
In Settings app, General settings panel, turn OFF Background App Refresh for any apps you feel do not need constant data updating/Internet updating in the background when not using the an app OR turn OFF Background App Refresh entirely/globally for the entire device.
Do the same in the Settings app under Notifications.Turn off notifications for apps you do not think you need notifications for and/or edit the different ways you receive notifications to help with performance by not always using all the notification methods together.
In Settings app under Mail, you may want to set a longer fetch time or set your iOS Mail app to only manually fetch your mail ONLY when you launch the iOS Mail app.
Some minority of user have been turning ON and leaving ON iCloud backups continuously backing up on a constant and daily basis.
If you are one of these users, in Settings App, tap your Apple ID, then tap iCloud, then find iCloud backup and turn off iCloud backup and only turn this on to do daily backups either when you are not using your iPhone for a prolonged period of time (like when you are sleeping), then turn iCloud backups OFF when actually using your iPhone.
OR
Only perform your backups on a lesser time schedule.( like twice a week, once a week, once every two weeks, once a month, etc.).
Any large amount of background running apps or active processes that have to constantly go out to the Web to fetch data ALL THE TIME is going to slow down ANY iDevice and can, also, negatively impact battery life.
Good Luck to You!