derivation vs origin

derivation and origin both are nouns.

Word	Noun	Adjective	Verb	Adverb
derivation	Yes	No	No	No
origin	Yes	No	No	No

As nouns, origin is a hyponym of derivation; that is, origin is a word with a more specific, narrower meaning than derivation:

Other hyponyms of derivation include descent, extraction, bloodline, pedigree.

As nouns, origin is a hypernym of derivation; that is, origin is a word with a broader meaning than derivation:

derivation: the source or origin from which something derives (i.e. comes or issues)
origin: the place where something begins, where it springs into being

Other hypernyms of derivation include beginning, root, rootage, source.

derivation (noun)	origin (noun)
the act of deriving something or obtaining something from a source or origin	properties attributable to your ancestry
drawing off water from its main channel as for irrigation	the point of intersection of coordinate axes; where the values of the coordinates are all zero
drawing of fluid or inflammation away from a diseased part of the body	an event that is a beginning; a first part or stage of subsequent events
inherited properties shared with others of your bloodline	the hereditary derivation of an individual
a line of reasoning that shows how a conclusion follows logically from accepted propositions	the place where something begins, where it springs into being
(historical linguistics) an explanation of the historical origins of a word or phrase	the source of something's existence or from which it derives or is derived
the source or origin from which something derives (i.e. comes or issues)
(descriptive linguistics) the process whereby new words are formed from existing words or bases by affixation