origin vs derivation

origin and derivation both are nouns.

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

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

Other hypernyms of origin include ancestry, filiation, lineage.

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

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

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