How do you determine whether you can us LNAV/VNAV minima on an RNAV approach? If we look at this approach plate it has


LPV DA
LNAV / VNAV DA
LNAV MDA
CIRCLING


I understand that if you have WAAS you can shoot the approach to LPV DA minimums. If you have only a GPS with a DME providing lateral navigation you can shoot the LNAV MDA. If you are more than 30 degrees off centerline you shoot the circling. So my question is, how can you shoot the LNAV / VNAV DA on a non-precision GPS approach? Does this require a special GPS that has vertical guidance?
The STC documentation provided with the GPS / FMS installation will indicate the type of minima it can go down to.  

Typically, GA aircraft like a Garmin 430/530 will only be certified down to LNAV minima.

Business type aircraft with FMS's may be certified to LNAV/VNAV minima.  These installations use a barometric altitude input to calculate a pseudo glidepath to be displayed.