How do I remove this sliding drawer in my kitchen?
This type of slide decouples simply by giving the drawer a good tug in the straightout direction. It is advised to start the tug when the drawer is fully extended and then apply a steady but very firm pull. 

When it comes time to reinstall the drawer you reach into the drawer opening and then pull the bearing carrier tray fully out up to the face frame. Then you carefully re-inseret the drawer with the tracks lined up. The tapered nose on the track at the back end of the drawer will engage with the bearing carrier and then you just push the drawer in. It will roll in easily until just before it becomes fully seated against the face frame. At this point you apply firm steady pressure on the drawer to push it fully in. The pressure applied in this latter step will be similar to the tug that you had to apply upon removal of the drawer.