Chain rule

en

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Chain rule

Quality:

Chain rule - method of differentiating composed functions. Article “Chain rule” in English Wikipedia has 42.5 points for quality (as of July 1, 2026). The article contains 12 references and 21 sections.

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

Since the creation of article “Chain rule”, its content was written by 286 registered users of English Wikipedia and edited by 941 registered Wikipedia users in all languages.

The article is cited 356 times in English Wikipedia and cited 2200 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #247 in September 2001
  • Global: #341 in September 2001

The highest popularity rank from 2008:

  • Local (English): #8584 in October 2014
  • Global: #10903 in October 2010

There are 38 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, 2026 (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)
Chain rule
42.526
2Ukrainian (uk)
Похідна композиції функцій
34.3628
3Indonesian (id)
Kaidah rantai
32.8169
4Romanian (ro)
Derivarea funcțiilor compuse
32.1255
5German (de)
Kettenregel
27.2031
6Tamil (ta)
வகையிடலின் சங்கிலி விதி
26.7316
7Catalan (ca)
Regla de la cadena
23.2052
8Simple English (simple)
Chain rule
21.5939
9Russian (ru)
Дифференцирование сложной функции
20.226
10Spanish (es)
Regla de la cadena
17.7199
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 "Chain rule" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Chain rule
7 581 599
2German (de)
Kettenregel
2 074 018
3Spanish (es)
Regla de la cadena
1 860 367
4Chinese (zh)
链式法则
678 156
5Russian (ru)
Дифференцирование сложной функции
614 615
6Portuguese (pt)
Regra da cadeia
588 587
7French (fr)
Théorème de dérivation des fonctions composées
552 965
8Italian (it)
Regola della catena
270 081
9Dutch (nl)
Kettingregel
261 821
10Hebrew (he)
כלל השרשרת
174 268
More...

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

Most popular in June 2026

The most popular language versions of the article "Chain rule" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Chain rule
12 366
2German (de)
Kettenregel
1 929
3French (fr)
Théorème de dérivation des fonctions composées
1 098
4Chinese (zh)
链式法则
781
5Spanish (es)
Regla de la cadena
599
6Japanese (ja)
連鎖律
510
7Italian (it)
Regola della catena
475
8Russian (ru)
Дифференцирование сложной функции
405
9Portuguese (pt)
Regra da cadeia
326
10Polish (pl)
Reguła łańcuchowa
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 "Chain rule" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Chain rule
286
2German (de)
Kettenregel
102
3French (fr)
Théorème de dérivation des fonctions composées
59
4Spanish (es)
Regla de la cadena
54
5Dutch (nl)
Kettingregel
50
6Russian (ru)
Дифференцирование сложной функции
45
7Italian (it)
Regola della catena
39
8Hebrew (he)
כלל השרשרת
29
9Chinese (zh)
链式法则
26
10Polish (pl)
Reguła łańcuchowa
23
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 2026

Language versions of the article "Chain rule" with the highest AI in June 2026
#LanguageAI awardRelative AI
1Arabic (ar)
قاعدة السلسلة
1
2Slovenian (sl)
Odvod kompozituma
1
3Bulgarian (bg)
Верижно правило
0
4Catalan (ca)
Regla de la cadena
0
5Czech (cs)
Řetízkové pravidlo
0
6German (de)
Kettenregel
0
7English (en)
Chain rule
0
8Esperanto (eo)
Derivaĵo de funkcia komponaĵo
0
9Spanish (es)
Regla de la cadena
0
10Basque (eu)
Katearen erregela
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 "Chain rule" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Chain rule
356
2Arabic (ar)
قاعدة السلسلة
168
3Persian (fa)
قاعده زنجیره‌ای
159
4Chinese (zh)
链式法则
149
5Ukrainian (uk)
Похідна композиції функцій
129
6Korean (ko)
연쇄 법칙
125
7Japanese (ja)
連鎖律
124
8Portuguese (pt)
Regra da cadeia
91
9German (de)
Kettenregel
83
10Spanish (es)
Regla de la cadena
82
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2026:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2026:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
قاعدة السلسلة
bgBulgarian
Верижно правило
caCatalan
Regla de la cadena
csCzech
Řetízkové pravidlo
deGerman
Kettenregel
enEnglish
Chain rule
eoEsperanto
Derivaĵo de funkcia komponaĵo
esSpanish
Regla de la cadena
euBasque
Katearen erregela
faPersian
قاعده زنجیره‌ای
fiFinnish
Ketjusääntö
frFrench
Théorème de dérivation des fonctions composées
glGalician
Regra da cadea
heHebrew
כלל השרשרת
hiHindi
शृंखला नियम
huHungarian
Láncszabály
hyArmenian
Բարդ ֆունկցիայի դիֆերենցում
idIndonesian
Kaidah rantai
itItalian
Regola della catena
jaJapanese
連鎖律
koKorean
연쇄 법칙
nlDutch
Kettingregel
nnNorwegian (Nynorsk)
Kjerneregelen
plPolish
Reguła łańcuchowa
ptPortuguese
Regra da cadeia
roRomanian
Derivarea funcțiilor compuse
ruRussian
Дифференцирование сложной функции
shSerbo-Croatian
Pravilo derivacije složene funkcije
simpleSimple English
Chain rule
slSlovenian
Odvod kompozituma
srSerbian
Извод сложене функције
svSwedish
Kedjeregeln
taTamil
வகையிடலின் சங்கிலி விதி
thThai
กฎลูกโซ่
trTurkish
Zincir kuralı
ukUkrainian
Похідна композиції функцій
zhChinese
链式法则
zhminnanMin Nan
Liân-só-lu̍t

Popularity rank trends

Best Rank English:
#8584
10.2014
Global:
#10903
10.2010

AI rank trends

Best Rank English:
#247
09.2001
Global:
#341
09.2001

Local popularity rank history

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Chain rule from Wikipedia articles about Backpropagation, Derivative, Product rule, Quotient rule and List of differentiation rules. Whereas reading the article about Chain rule people most often go to Wikipedia articles on Faà di Brunos formula, Integration by substitution, Notation for differentiation, Product rule and Leibnizs notation.

Cumulative results of quality and popularity of the Wikipedia article

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

simple: Chain rule
zhminnan: Liân-só-lu̍t

News from 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In English Wikipedia the most popular articles on that day were: 2026 FIFA World Cup, Harry Kane, Julián Quiñones, List of FIFA World Cup top goalscorers, Kylian Mbappé, Democratic Republic of the Congo, Erling Haaland, DR Congo national football team, Melat Kiros, FIFA World Cup.

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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information