The root word here is the adjective didactic, meaning instructive (sometimes, particularly of morals), which can be pluralised to give a noun meaning the art or science of teaching (the alternative being didacticism).
There are no verb forms associated with this root, but it can take the prefix auto- (Greek, self, same). Thus an autodidact is one who teaches [or more usually, has taught] himself.
So you don't say "John is an autodidactor" because John is an autodidactic.
A common expression used by people who don't know/like such relatively obscure words is to say "John studied at the University of Life", which gives a clue as to why we don't really need autodidact to function as a verb - the relevant verb is usually just live [every day of your life as a learning experience].
I suspect OP would like autodidactic to have more the sense of solitary home study, but since the word is more evocative of dispensing teaching than absorbing learning, I feel this extension of meaning is unlikely to catch on. A reasonable alternative for OP's context is..
Teach myself Eclipse RCP so I know better how to use it.
or perhaps Learn about..., Study..., or Bone up on... (that last is somewhat informal, but does perhaps imply "by my own efforts" more strongly).