Articles containing proofs | Theorems in analysis | Theorems in calculus | Differentiation rules

Chain rule

In calculus, the chain rule is a formula that expresses the derivative of the composition of two differentiable functions f and g in terms of the derivatives of f and g. More precisely, if is the function such that for every x, then the chain rule is, in Lagrange's notation, or, equivalently, The chain rule may also be expressed in Leibniz's notation. If a variable z depends on the variable y, which itself depends on the variable x (that is, y and z are dependent variables), then z depends on x as well, via the intermediate variable y. In this case, the chain rule is expressed as and for indicating at which points the derivatives have to be evaluated. In integration, the counterpart to the chain rule is the substitution rule. (Wikipedia).

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Chain rule for functions of two variables

Free ebook http://tinyurl.com/EngMathYT A example on the mathematics of the chain rule for functions of two variables.

From playlist A second course in university calculus.

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This is How You Use the Chain Rule in Calculus

This is How You Use the Chain Rule in Calculus

From playlist Random calculus problems:)

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The Chain Rule: Part 1 of 2

http://mathispower4u.wordpress.com/

From playlist Differentiation Using the Chain Rule

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Chain Rule Chain Rule Chain Rule

A statement of the chain rule, plus examples

From playlist Exam 2 Fall 2013, MAT 241

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Chain Rule for Several Variable Functions

How to apply the chain rule for partial deriviatves. An example is discussed. Free ebook tinyurl.com/EngMathYT

From playlist Several Variable Calculus / Vector Calculus

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Chain rule for functions of two variables

Free ebook http://tinyurl.com/EngMathYT A lecture on the mathematics of the chain rule for functions of two variables. Plenty of examples are presented to illustrate the ideas. These concepts are seen at university.

From playlist A second course in university calculus.

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Even More Chain Rule

Even more examples using the chain rule.

From playlist Calculus

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Introduction to the Chain Rule for Derivatives from Calculus

Introduction to the Chain Rule for Derivatives from Calculus

From playlist Calculus 1 Exam 2 Playlist

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Calculus - Understanding the chain rule

The chain rule can be one of the most powerful rules in calculus for finding derivatives. Unfortunately the rule looks a bit odd, and its unclear why it works they way it does. This video will cover the idea behind why it works and even show how you can use these ideas to build the tripl

From playlist Calculus

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The Chain Rule... How? When? (NancyPi)

MIT grad shows how to use the chain rule to find the derivative and WHEN to use it. To skip ahead: 1) For how to use the CHAIN RULE or "OUTSIDE-INSIDE rule", skip to time 0:17. 1b) For how to know WHEN YOU NEED the chain rule, skip to 4:35. 2) For another example with the POWER RULE in the

From playlist Calculus: Derivatives

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ʕ•ᴥ•ʔ Chain Rule Explained Properly with Examples.. Finally!

Quickly master derivatives with chain rule! Subscribe Now to get more: https://www.studypug.com/calculus-help/derivatives/chain-rule Watch more step by step examples at https://www.studypug.com === Follow us YOUTUBE http://www.youtube.com/c/StudyPug?sub_confirmation=1 GOOGLE+ https:

From playlist UK Year 12 Maths

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More Chain Rule (NancyPi)

MIT grad shows how to use the chain rule for EXPONENTIAL, LOG, and ROOT forms and how to use the chain rule with the PRODUCT RULE to find the derivative. To skip ahead: 4) For an example with an EXPONENTIAL function that needs the chain rule to take the derivative, skip to time 0:32. 5) Fo

From playlist Calculus: Derivatives

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Applied Calc 1 Ep 12: The chain rule

Episode 12 of my videos for my Applied Calculus 1 course at Fairfield University. This is a first calculus course for undergraduates, taken mostly by business and health/life sciences students. This episode is about the chain rule. Class webpage: http://cstaecker.fairfield.edu/~cstaecker

From playlist Math 1121 (Applied Calculus 1)

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Calculus 1 Lecture 2.6 Part 4

Calculus 1 Lecture 2.6 Part 4: The Chain Rule for Derivatives

From playlist Calculus 1 Playlist 1

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8. Forks

MIT MAS.S62 Cryptocurrency Engineering and Design, Spring 2018 Instructor: Neha Narula View the complete course: https://ocw.mit.edu/MAS-S62S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61KHzhg3JIJdK08JLSlcLId Explanation of types of forks in blockchain technology

From playlist MIT MAS.S62 Cryptocurrency Engineering and Design, Spring 2018

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Chain rule & partial derivatives

Download the free PDF http://tinyurl.com/EngMathYT This video shows how to calculate partial derivatives via the chain rule. Such ideas are seen in first year university.

From playlist A second course in university calculus.

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Chain rule + partial derivatives

Download the free PDF http://tinyurl.com/EngMathYT This video shows how to calculate partial derivatives via the chain rule. Such ideas are seen in first year university.

From playlist Several Variable Calculus / Vector Calculus

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Learn The Chain Rule in One Minute!! (Calculus) #Shorts

#Math #Calculus #Calc1 #Physics #Integrals #Antiderivatives #Derivatives #Science #Physics #Highschool #College #NicholasGKK #Shorts

From playlist Calculus

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Worldwide Calculus: Differentiation Rules

Lecture on 'Differentiation Rules' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.

From playlist Multivariable Derivatives

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