You searched for: “derivation
derivation (der" uh VAY shuhn (s) (noun), derivations (pl)
1. The origin, or source, of something; such as, a word or someone's name.
2. The formation of a term, from another one or from a basic form.
3. The historical origin and development of an entry: An etymology is an example of a derivation
4. A mathematical, or logical argument, whose steps show that the conclusion follows necessarily from initial assumptions.
5. The act of obtaining something from a source or issuing from a source.
6. Etymology: from Latin derivare, "to lead or to draw off (a stream of water) from its source".

Then from Old French deriver. "to flow, to pour out; to originate".