To detach the whole LCD display assembly, first remove the LHS and RHS covers.
Unscrew the two swivel mount screws (see blue arrows).
The display assembly is now free.
Take care not to lose the small metal piece that goes over the switch - it is freed as soon as you remove the display assembly.
To actually disconnect the display assembly, you would need to:
1) disconnect the swivel switch connector (two red wires shown in display_detached_2 image).
2) disconnect the microphone connector.
3) disconnect the LCD connector.
Photos of the microphone and LCD connector are shown in this thread about microphones
Note 1: You should not need to remove the swivel cover (perhaps if the display swivel tilt sensor was broken, or if you suspected display/mic wires were damaged inside the swivel mount). It has a single screw but it is clipped on tightly, and you need to angle the swivel correctly to remove it.
Note 2: In the photos I think more parts are removed than necessary. You probably don't need to remove the plastic cover with the SD slot door in it, and maybe not the zoom switch assembly (depending on what you are wanting to do).