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https://www.qub.ac.uk/directorates/media/Media,531092,en.pdf
MATHEMATICS SUPPORT CENTRE Title: Calculus: Differentiation using the chain rule. Target: On completion of this worksheet you should be able to use the chain rule to differentiate functions of a function. y = x3 + 2 is a function of x y = (x3 + 2)2 is a function (the square) of the function (x3 + 2) of x. To differentiate this we write u = (x3 + 2), so that y = u2 The chain rule is that dx du du dy dx dy = ×
http://supportcentre.maths.nuim.ie/ProductQuotientChainRule
Notes on Product & Quotient Rule (Paul's Online Math Notes) Video on the Quotient Rule (PatrickJMT) Notes & Videos on the Quotient Rule (mathcentre) Notes & Video on the Quotient Rule (mathtutor) Notes & Video on the Quotient Rule (MIT) Video on the Quotient Rule (integralCALC) Chain Rule. Video on the Chain Rule (PatrickJMT)
http://www.mathcentre.ac.uk/topics/differentiation/chain-rule/
The chain rule is used for differentiating a function of a function. This leaflet states and illustrates this rule. (Engineering Maths First Aid Kit 8.5)
http://tutorial.math.lamar.edu/Classes/CalcI/ChainRule.aspx/%20%22
In this section we discuss one of the more useful and important differentiation formulas, The Chain Rule. With the chain rule in hand we will be able to differentiate a much wider variety of functions. As you will see throughout the rest of your Calculus courses a great many of derivatives you take will involve the chain rule!
http://www.mathmeeting.com/chain-rule-calculus-derivatives/
When to use the chain rule? Anytime there is a parentheses followed by an exponent is the general rule of thumb. Take a look at the same example listed above. Notice how the function has parentheses followed by an exponent of 99. This is a clear indication to use the chain rule in order to differentiate …
https://math.stackexchange.com/questions/1409543/differentiation-using-chain-rule
Differentiation using Chain Rule. Ask Question Asked 4 years, 3 months ago. ... Thanks for contributing an answer to Mathematics Stack Exchange! Please be sure to answer the question. Provide details and share your research! ... Can somebody help me on a simple chain rule differentiation problem [As level] 3.
https://www.mathportal.org/calculus/differentiation/chain-rule.php
Random Quote. I like mathematics because it is not human and has nothing particular to do with this planet or with the whole accidental universe - because like Spinoza's God, it won't love us in return.
http://www.math.info/Calculus/Derivatives_Chain_Rule/
Using Chain Rule with n (x) = 1 + x 2 and m (x) = sin x it follows that n '(x) = 2 x and m '[n (x)] = cos(1 + x 2)
http://tutorial.math.lamar.edu/ProblemsNS/CalcI/ChainRule.aspx
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http://supportcentre.maths.nuim.ie/differentialcalculus
For Maynooth University students, this material is typically covered in parts of Differential Calculus (MT101SC) and Calculus 1 (MT105A). These resources are not a replacement for the material covered in your lectures and assignments, rather you should use them as extra support to aid your understanding of any material you may have difficulties with.
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