The default iOS Photos app doesn't allow access to any image metadata.
You would need to purchase and use a third party iOS image editor that displays such info AND/OR an EXIF data reading app, but those may only give you the pixel dimensions, but not the actual DPI/ppi resolution of an image.
Check out this app to see if this would work for you. This app displays image DPI.
Image Size by vsmedia.de
https://itunes.apple.com/us/app/image-size/id670766542?mt=8
Good Luck to You!