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mean value theorem

on the existence of a tangent to an arc parallel to the line through its endpoints
Intangible theorem Q189136
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Summary

mean value theorem is a theorem[1]. It ranks in the top 2% of theorem entities by monthly Wikipedia readership (5,186 views/month).[2]

Key Facts

  • Part of: list of theorems[3]
  • Commons category: Mean value theorem[4]
  • Different from: Lagrange's theorem[5]
  • Studied by: calculus[6]
  • Maintained by WikiProject: WikiProject Mathematics[7]
  • Generalization of: Rolle's theorem[8]

Why It Matters

mean value theorem has Wikipedia articles in 29 language editions, a strong signal of global cultural recognition.[9] It is known by 77 alternative names across languages and contexts.[10]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [9] ↑ . Wikidata sitelinks. wikidata.org.
  3. [10] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). mean value theorem. Retrieved October 11, 2026, from https://4ort.xyz/entity/mean-value-theorem
MLA “mean value theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 11 Oct. 2026, https://4ort.xyz/entity/mean-value-theorem.
BibTeX @misc{4ortxyz_mean-value-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{mean value theorem}}, year = {2026}, url = {https://4ort.xyz/entity/mean-value-theorem}, note = {Accessed: 2026-10-11}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): mean value theorem — https://4ort.xyz/entity/mean-value-theorem (retrieved 2026-10-11)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 20w ago · Twofivesixbot bot · 2026-05-24 view diff on Wikidata ↗
    Studied by → calculus
    Instance of → theorem
    Maintained by wikiproject → WikiProject Mathematics
    Generalization of → Rolle's theorem
    + 5 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|3 */ National library of israel j9u id: 987007558280505171, mv to monolingual text names on J9U statements"
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