to portray or create something in a particular way; or to interpret, translate, or extract from
The exact meaning of this sense of render depends upon its context. For example:
"Each artist will render a different interpretation when painting a portrait." — create in a particular way
"A Supreme Court judge may render his own interpretation of the Constitution." — interpret in a particular way
"The computer you are using, rendered this page from software instructions." — created through interpretation
"A graph is rendered from the underlying data." — made
"Fat can be rendered (extracted) by cooking meat slowly." — extracted from
Then with a little start she would wake up again–wake up to the aquarium antics of the Tennis Champions, to the Super-Vox-Wurlitzeriana rendering of "Hug me till you drug me, honey," to the warm draught of verbena that came blowing through the ventilator above her head–would wake to these things, or rather to a dream of which these things, transformed and embellished by the soma in her blood, were the marvellous constituents, and smile once more her broken and discoloured smile of...
rendering = performance
There are no more uses of "render" in Brave New World.