This video explains how to play PS4 games on your iPhone or iPad. It uses the Remote Play method but you need a paid app to do this. For now, R-Play works great and you can buy from the App Store below:
https://itunes.apple.com/us/app/r-pla...
As for using DualShock 4 as shown in this video, the steps are a bit complicated. First, you need two PSN accounts and two separate PS4 user accounts on your console. The steps are outlined here:
http://geek.ng/play-ps4-games-on-your...
Music: Beats by Efreezee @ http://musicbeats.net/free-background...