Demonstrate an interaction with a design component

We have a mobile music application that has a header with a floating button underneath it, something along the lines of this crude image:

People understand to click the button to play a song, but it is not obvious to them that can swipe the button left or right to move to the previous or next track.

Is there a cue we can use? Or does anyone have any guidance on creating a tutorial we can fire up when the user first starts the app?