Cauchy's mean-value theorem

theorem
Intangible theorem Q3984001
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Cauchy's mean-value theorem

Summary

Cauchy's mean-value theorem is a theorem[1]. It draws 9 Wikipedia views per month (theorem category, ranking #270 of 1,306).[2]

Key Facts

  • Cauchy's mean-value theorem's image is recorded as Cauchy.svg[3].
  • Cauchy's mean-value theorem's instance of is recorded as theorem[4].
  • Cauchy's mean-value theorem's part of is recorded as mean value theorem[5].
  • Cauchy's mean-value theorem's defining formula is recorded as \exists c \in (a,b) : (f(b)-f(a))g'(c)=(g(b)-g(a))f'(c)[6].
  • Cauchy's mean-value theorem's defining formula is recorded as \exists c \in (a,b) : \frac{f'(c)}{g'(c)}=\frac{f(b)-f(a)}{g(b)-g(a)}[7].
  • Cauchy's mean-value theorem's Google Knowledge Graph ID is recorded as /g/122jkq1s[8].
  • Cauchy's mean-value theorem's Google Knowledge Graph ID is recorded as /g/1215vt8r[9].
  • Cauchy's mean-value theorem's MathWorld ID is recorded as ExtendedMean-ValueTheorem[10].
  • Cauchy's mean-value theorem's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • Cauchy's mean-value theorem's generalization of is recorded as mean value theorem[12].

Why It Matters

Cauchy's mean-value theorem draws 9 Wikipedia views per month (theorem category, ranking #270 of 1,306).[2] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[13] It is known by 6 alternative names across languages and contexts.[14]

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.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [13] . Wikidata sitelinks. wikidata.org.
  3. [14] . 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). Cauchy's mean-value theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/cauchy-s-mean-value-theorem
MLA “Cauchy's mean-value theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/cauchy-s-mean-value-theorem.
BibTeX @misc{4ortxyz_cauchy-s-mean-value-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Cauchy's mean-value theorem}}, year = {2026}, url = {https://4ort.xyz/entity/cauchy-s-mean-value-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Cauchy's mean-value theorem — https://4ort.xyz/entity/cauchy-s-mean-value-theorem (retrieved 2026-05-03)

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