Hi Leonid
The term anti-aging is in Webster's unabridged dictionary but no
date or origin is listed as is usual. I think it must date back to at
least the 19th Century as some snake oil nostrums from that era were
described as anti-aging I think but I imagine it could go back much
further to the Alchemists or even into antiquity I suppose. Perhaps
someone else may be more specific.
Regards
Tim