Where does “multidisciplinary” come from?

I need to flag an issue: the chain provided traces "disciplinary" back through Proto-Indo-European, but the headword is "multidisciplinary," which adds the prefix "multi-." The chain doesn't include the etymology of "multi-," so I cannot accurately account for the complete word. If I'm meant to write only about the "disciplinary" component, I can do that: Disciplinary derives from Latin disciplinarius, from disciplina meaning instruction or learning, from discipulus meaning student, ultimately from Proto-Indo-European dek- and dwóh₁. However, this violates the instruction to cover the headword "multidisciplinary" in full. Could you clarify whether the chain should include Latin multus/multi-, or whether I should proceed with just the disciplinary component?

multidisciplinary (English): Relating to multiple areas of study

Definitions

  1. Relating to multiple areas of study

Ancestry of “multidisciplinary”, step by step

StepLanguageWordMeaning
1EnglishdisciplinaryHaving to do with discipline, or with the...
2Medieval Latindisciplinarius
3Latindisciplinateaching, instruction, education; training;...
4Latindiscipulusstudent, pupil, disciple, schoolboy; cadet
5Latin-inanominative feminine singular of -īnus; nominative...
6Latin-īnusof or pertaining to; -ine
7Proto-Italic-īnosof/belonging to
8Proto-Indo-European-iHnosCreates adjectives of materials
9Proto-Indo-European-no-adjectival suffix

Words derived from “multidisciplinary

Every word from Proto-Indo-European -no-