Critical point (mathematics)

en

WikiRank.net
ver. 1.6

Critical point (mathematics)

Quality:

Critical point - in calculus, the points of an equation where the derivative is zero. Article "Critical point (mathematics)" in English Wikipedia has 31.3 points for quality (as of July 1, 2025). The article contains 11 references and 11 sections. The article also contains quality flaw template, which reduce quality score.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

In June 2025 the article "Critical point (mathematics)" was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article "Critical point (mathematics)", its content was written by 102 registered users of English Wikipedia and edited by 393 registered Wikipedia users in all languages.

The article is cited 166 times in English Wikipedia and cited 913 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #35198 in November 2011
  • Global: #18890 in October 2011

The highest popularity rank from 2008:

  • Local (English): #56836 in November 2014
  • Global: #48459 in November 2013

There are 22 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Critical point (mathematics)
31.3238
2Tamil (ta)
மாறுநிலை எண் (கணிதம்)
29.6281
3Chinese (zh)
临界点 (数学)
27.4945
4Catalan (ca)
Punt crític (matemàtiques)
26.207
5Russian (ru)
Критическая точка (математика)
24.3002
6Arabic (ar)
نقطة حرجة (رياضيات)
23.8075
7Polish (pl)
Punkt krytyczny (matematyka)
22.4952
8Spanish (es)
Punto crítico (matemática)
22.4357
9Kazakh (kk)
Күдікті нүкте
21.2532
10Indonesian (id)
Titik kritis (matematika)
16.129
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Critical point (mathematics)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Critical point (mathematics)
1 650 085
2Spanish (es)
Punto crítico (matemática)
804 294
3Russian (ru)
Критическая точка (математика)
297 216
4Portuguese (pt)
Ponto crítico (funções)
288 226
5French (fr)
Point critique (mathématiques)
252 870
6German (de)
Kritischer Punkt (Mathematik)
224 027
7Italian (it)
Punto critico (matematica)
214 624
8Chinese (zh)
临界点 (数学)
132 495
9Korean (ko)
임계점 (수학)
108 243
10Japanese (ja)
臨界点 (数学)
66 389
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Critical point (mathematics)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Critical point (mathematics)
3 768
2Spanish (es)
Punto crítico (matemática)
544
3Russian (ru)
Критическая точка (математика)
477
4Japanese (ja)
臨界点 (数学)
463
5Chinese (zh)
临界点 (数学)
426
6French (fr)
Point critique (mathématiques)
412
7German (de)
Kritischer Punkt (Mathematik)
370
8Portuguese (pt)
Ponto crítico (funções)
294
9Vietnamese (vi)
Điểm cực trị
288
10Italian (it)
Punto critico (matematica)
279
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Critical point (mathematics)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Critical point (mathematics)
102
2Italian (it)
Punto critico (matematica)
46
3German (de)
Kritischer Punkt (Mathematik)
35
4Russian (ru)
Критическая точка (математика)
33
5French (fr)
Point critique (mathématiques)
28
6Portuguese (pt)
Ponto crítico (funções)
18
7Spanish (es)
Punto crítico (matemática)
17
8Dutch (nl)
Kritisch punt (wiskunde)
17
9Arabic (ar)
نقطة حرجة (رياضيات)
11
10Chinese (zh)
临界点 (数学)
11
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Critical point (mathematics)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Critical point (mathematics)
1
2Arabic (ar)
نقطة حرجة (رياضيات)
0
3Catalan (ca)
Punt crític (matemàtiques)
0
4German (de)
Kritischer Punkt (Mathematik)
0
5Esperanto (eo)
Sojla punkto (matematiko)
0
6Spanish (es)
Punto crítico (matemática)
0
7Persian (fa)
نقطه بحرانی (ریاضیات)
0
8French (fr)
Point critique (mathématiques)
0
9Indonesian (id)
Titik kritis (matematika)
0
10Italian (it)
Punto critico (matematica)
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Critical point (mathematics)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Chinese (zh)
临界点 (数学)
193
2English (en)
Critical point (mathematics)
166
3Russian (ru)
Критическая точка (математика)
61
4Italian (it)
Punto critico (matematica)
58
5Polish (pl)
Punkt krytyczny (matematyka)
56
6French (fr)
Point critique (mathématiques)
53
7Spanish (es)
Punto crítico (matemática)
48
8German (de)
Kritischer Punkt (Mathematik)
42
9Japanese (ja)
臨界点 (数学)
38
10Ukrainian (uk)
Критична точка (математика)
36
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
نقطة حرجة (رياضيات)
caCatalan
Punt crític (matemàtiques)
deGerman
Kritischer Punkt (Mathematik)
enEnglish
Critical point (mathematics)
eoEsperanto
Sojla punkto (matematiko)
esSpanish
Punto crítico (matemática)
faPersian
نقطه بحرانی (ریاضیات)
frFrench
Point critique (mathématiques)
idIndonesian
Titik kritis (matematika)
itItalian
Punto critico (matematica)
jaJapanese
臨界点 (数学)
kkKazakh
Күдікті нүкте
koKorean
임계점 (수학)
nlDutch
Kritisch punt (wiskunde)
plPolish
Punkt krytyczny (matematyka)
ptPortuguese
Ponto crítico (funções)
ruRussian
Критическая точка (математика)
svSwedish
Kritisk punkt (analys)
taTamil
மாறுநிலை எண் (கணிதம்)
ukUkrainian
Критична точка (математика)
viVietnamese
Điểm cực trị
zhChinese
临界点 (数学)

Popularity rank trends

Best Rank English:
#56836
11.2014
Global:
#48459
11.2013

AI rank trends

Best Rank English:
#35198
11.2011
Global:
#18890
10.2011

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Critical point from Wikipedia articles about Saddle point, Inflection point, Maxima and minima, Critical point and Sards theorem. Whereas reading the article about Critical point people most often go to Wikipedia articles on Stationary point, Inflection point, Saddle point, Maxima and minima and Gradient.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 12 August 2025

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information