I have an iPhone 6 and have also had terrible performance since updating to iOS 11. There are many symptoms:
- Apps open up slowly and stutter.
- The keyboard opens up slowly and there is keyboard lag.
- The phone and keyboard freeze when Messages or Mail try to autocomplete addresses.
- The phone regularly becomes unresponsive for a few seconds at a time.
- I often have to tap buttons three or four times before I get a response. For example, in the Maps app after I get directions I have to tap on the "go" button over and over before I start getting directions.
iOS 11.1 and iOS 11.2 have not helped.
I did a factory reset and reinstalled iOS and all my apps and data and that did not help.
I have an iPhone 6 with 64GB of RAM. I have 32GB of available space. My battery is fine, showing only 14% wear. (Of course, having an old battery shouldn't kill performance, but apparently there's some evidence it does that.)
Apple needs to fix this problem. Even if it was not intentional, it looks like they are slowing down old devices to push people to new ones. They need to fix it.