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Meaning of "chain rule" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF CHAIN RULE

chain rule play
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GRAMMATICAL CATEGORY OF CHAIN RULE

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Chain rule is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES CHAIN RULE MEAN IN ENGLISH?

Chain rule

In calculus, the chain rule is a formula for computing the derivative of the composition of two or more functions. That is, if f and g are functions, then the chain rule expresses the derivative of their composition fg (the function which maps x to f(g(x))) in terms of the derivatives of f and g and the product of functions · as follows: If z is a function of a variable y, which is itself a function of x (see dependent variable), then z is also a function of x and the chain rule may be written In integration, the counterpart to the chain rule is the substitution rule.

Definition of chain rule in the English dictionary

The definition of chain rule in the dictionary is a theorem that may be used in the differentiation of the function of a function. It states that du/d x =, where y is a function of x and u a function of y.

WORDS THAT BEGIN LIKE CHAIN RULE

chain
chain drive
chain gang
chain grate
chain letter
chain lightning
chain mail
chain of command
chain printer
chain reaction
chain saw
chain shot
chain smoker
chain stitch
chain store
chain wheel
chain-link fence
chain-react
chain-smoke
chain-stitch

WORDS THAT END LIKE CHAIN RULE

as a rule
board rule
direct rule
foot rule
gag rule
global rule
golden rule
ground rule
home rule
house rule
majority rule
martial rule
mob rule
phase rule
phrase-structure rule
rewrite rule
rule
slide rule
the rule
trapezoid rule
unit rule

Synonyms and antonyms of chain rule in the English dictionary of synonyms

SYNONYMS

Translation of «chain rule» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF CHAIN RULE

Find out the translation of chain rule to 25 languages with our English multilingual translator.
The translations of chain rule from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «chain rule» in English.

Translator English - Chinese

链式法则
1,325 millions of speakers

Translator English - Spanish

regla de la cadena
570 millions of speakers

English

chain rule
510 millions of speakers

Translator English - Hindi

श्रृंखला नियम
380 millions of speakers
ar

Translator English - Arabic

قاعدة السلسلة
280 millions of speakers

Translator English - Russian

правило цепи
278 millions of speakers

Translator English - Portuguese

regra da cadeia
270 millions of speakers

Translator English - Bengali

চেইন নিয়ম
260 millions of speakers

Translator English - French

règle de la chaîne
220 millions of speakers

Translator English - Malay

Peraturan rantai
190 millions of speakers

Translator English - German

Kettenregel
180 millions of speakers

Translator English - Japanese

連鎖法則
130 millions of speakers

Translator English - Korean

체인 규칙
85 millions of speakers

Translator English - Javanese

Aturan aturan
85 millions of speakers
vi

Translator English - Vietnamese

thước dây để đo
80 millions of speakers

Translator English - Tamil

சங்கிலி விதி
75 millions of speakers

Translator English - Marathi

साखळी नियम
75 millions of speakers

Translator English - Turkish

zincir kuralı
70 millions of speakers

Translator English - Italian

regola della catena
65 millions of speakers

Translator English - Polish

reguła łańcucha
50 millions of speakers

Translator English - Ukrainian

правило ланцюга
40 millions of speakers

Translator English - Romanian

regulă lanț
30 millions of speakers
el

Translator English - Greek

κανόνα της αλυσίδας
15 millions of speakers
af

Translator English - Afrikaans

kettingreël
14 millions of speakers
sv

Translator English - Swedish

kedjeregeln
10 millions of speakers
no

Translator English - Norwegian

kjerneregelen
5 millions of speakers

Trends of use of chain rule

TRENDS

TENDENCIES OF USE OF THE TERM «CHAIN RULE»

The term «chain rule» is regularly used and occupies the 61.329 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
72
/100
The map shown above gives the frequency of use of the term «chain rule» in the different countries.
Principal search tendencies and common uses of chain rule
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «chain rule».

FREQUENCY OF USE OF THE TERM «CHAIN RULE» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «chain rule» during the past 500 years. Its implementation is based on analysing how often the term «chain rule» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about chain rule

EXAMPLES

10 ENGLISH BOOKS RELATING TO «CHAIN RULE»

Discover the use of chain rule in the following bibliographical selection. Books relating to chain rule and brief extracts from same to provide context of its use in English literature.
1
The Chain Rule: A Manual of Brief Commercial Arithmetic
IN FAVOUR OF THE GENERAL ADOPTION, IN SCHOOLS, AS A BRANCH OF MERCANTILE EDUCATION, "Thb object of this little Treatise is to reduce the Chain Rule to a general and intelligible shape ; to explain its utility In reference to  ...
Charles Louis Schönberg, 1844
2
Calculus of a Single Variable
2.4 The Chain Rule Axle 1: y revolutions per minute Axle 2: u revolutions per minute Axle 3: x revolutions per minute Figure 2.24 I Find the derivative ofa composite function using the Chain Rule. I Find the derivative ofa function using the ...
Ron Larson, Bruce Edwards, 2013
3
Calculus of a Single Variable: Early Transcendental Functions
Find the derivative of a transcendental function using the Chain Rule. □ Find the derivative of a function involving the natural logarithmic function. □ Define and differentiate exponential functions that have bases other than e. The Chain Rule  ...
Ron Larson, Bruce Edwards, 2010
4
Calculus
2.4 The Chain Rule Axle 1: y revolutions per minute Axle 2: u revolutions per minute Axle 3: x revolutions per minute Figure 2.24 I Find the derivative ofa composite function using the Chain Rule. I Find the derivative ofa function using the ...
Ron Larson, Bruce Edwards, 2013
5
Calculus
EXAMPLE 6 The chain rule is barely needed for sin(x - 1). Strictly speaking the inside function is u = x- 1. Then du/dx is just 1 (not -1). If y = sin(x- 1) then dyjdx = cos(x - 1). The graph is shifted and the slope shifts too. Notice especially: The ...
Gilbert Strang, 1991
6
College Algebra and Calculus: An Applied Approach
7.7 The Chain Rule Output Input Output Input Rate of change of u with respect to x is du dx . u = g(x) u Rate of change of y with respect to u is dy x Function g Function f du y =f(u) =f(g(x)) . Rate of change of y with respect to x is dy dy du dx du ...
Ron Larson, Anne V. Hodgkins, 2012
7
Calculus: An Applied Approach
2.5 The Chain Rule Output Input Output Rate of change of u with respect to x is du dx . Function g u=g(x) Rate of change of y with respect to u is Input dy u x duy =f(u) = f(g(x)) . Function f Rate of change of y with respect to x is dy dy du dx du dx  ...
Ron Larson, 2012
8
Brief Calculus: An Applied Approach
Find derivatives using the General Power Rule. □ Write derivatives in simplified form. □ Use derivatives to answer questions about real-life situations. □ Use the differentiation rules to differentiate algebraic functions. The Chain Rule Rate of ...
Ron Larson, 2007
9
Calculus I: Early Transcendental Functions
m The Chain Rule Axle l: y revolutions per minute Axle 2: u revolutions per minute Axle 3: x revolutions per minute Figure 3.25 Find the derivative of a composite function using the Chain Rule. Find the derivative of a function using the General ...
Ron Larson, Robert P. Hostetler, Bruce Edwards, 2006
10
Modeling the Dynamics of Life: Calculus and Probability for ...
H(y)= 1 with a) the quotient rule and b) the chain rule. 1 + y3 19. g(x) = ln(3x) with a) a law of logs and b) the chain rule. 20. h(x) =ln(x3) with a) a law of logs and b) the chain rule. 21. F(x) = (1 + 2x)2 by a) expanding the binomial and taking the ...
Frederick R. Adler, 2012

10 NEWS ITEMS WHICH INCLUDE THE TERM «CHAIN RULE»

Find out what the national and international press are talking about and how the term chain rule is used in the context of the following news items.
1
Colorado to study truck-like tire chain rule for personal vehicles
Colorado state lawmakers will spend some time over the next few months looking into the possibility of requiring motorists to carry tire chains or ... «Land Line Magazine, Jun 15»
2
The phone call that changed my life
After learning derivatives and the chain rule in calculus 1 for the third time at the University of Alabama, – I passed AP Calculus in high school ... «Vicksburg Post, Jun 15»
3
A Crash Course on Derivatives
In order to really understand the trig derivatives, you also need the chain rule. Chain rule. What if you have a function of a function (a composite ... «Wired, Apr 15»
4
Naive Bayes Classifier: Foundation of Machine Learning
It also draws on concepts from our discussion of probability - specifically Bayes Theorem and the chain rule. Though the general concept of the ... «Pulse, Feb 15»
5
New Dismissal And Unemployment Legislation
Provisions on succession of fixed-term employment contracts (the chain rule). Currently, an employer may enter into a maximum of three ... «Mondaq News Alerts, Jan 15»
6
The Netherlands: new dismissal and unemployment legislation
Provisions on succession of fixed-term employment contracts (the chain rule). Currently, an employer may enter into a maximum of three ... «Lexology, Dec 14»
7
Coaching Carousel as a Method for Determining Program Rank
... proof goes Nebraska beats Oregon State beats Wisconsin (Nebraska beats Wisconsin by chain rule). The color system is set up as follows: «From The Rumble Seat, Dec 14»
8
Math 51: understanding its role
For example, in the absence of linear algebra students grapple with many different-looking formulas called the Chain Rule, but with linear ... «The Stanford Daily, Oct 14»
9
Kansas faces shortage of math, science teachers
Switts wanted to give her students another look at the chain rule, a calculation that involves derivatives of functions, and one they need to ... «Topeka Capital Journal, Oct 14»
10
What Is the Goal of a Math History Class?
In calculus, they need to know what a derivative is, understand the chain rule, find the integral of a function. They'll probably need to be able to ... «Scientific American, Aug 14»

REFERENCE
« EDUCALINGO. Chain rule [online]. Available <https://educalingo.com/en/dic-en/chain-rule>. May 2024 ».
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