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 December 14th, 2012, 04:34 AM #1 Newbie   Joined: Dec 2012 Posts: 2 Thanks: 0 Can anyone explain CHAIN RULE in Derivatives The title says it all. I didn't understand the chain rule. Can somebody help me?
 December 14th, 2012, 05:01 AM #2 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,968 Thanks: 1152 Math Focus: Elementary mathematics and beyond Re: Can anyone explain CHAIN RULE in Derivatives Exactly what is it that you don't understand? The chain rule is applied to find the derivative of compositions of functions. $\frac{d}{dx}f(g(x))\,=\,f'(g(x))g#39;(x)$
December 14th, 2012, 05:14 AM   #3
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Re: Can anyone explain CHAIN RULE in Derivatives

Quote:
 Originally Posted by greg1313 Exactly what is it that you don't understand? The chain rule is applied to find the derivative of compositions of functions. $\frac{d}{dx}f(g(x))\,=\,f'(g(x))g#39;(x)$
What is dy/dx??? Normally we use d/dx right?

 December 14th, 2012, 08:39 AM #4 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,968 Thanks: 1152 Math Focus: Elementary mathematics and beyond Re: Can anyone explain CHAIN RULE in Derivatives $y\,=\,f(g(x))$ $\frac{dy}{dx}\,=\,f'(g(x))g#39;(x)$
 December 14th, 2012, 09:29 AM #5 Newbie   Joined: Sep 2011 Posts: 29 Thanks: 0 Re: Can anyone explain CHAIN RULE in Derivatives Sometimes it helps to say to yourself "the derivative of y with respect to x" when using this Leibniz notation, and this will help you as you get more into substitution and so on. If you google "Leibniz notation," a video comes up explaining it perfectly in regards to the chain rule.
December 15th, 2012, 12:30 PM   #6
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Re: Can anyone explain CHAIN RULE in Derivatives

Quote:
Originally Posted by praneeth101
Quote:
 Originally Posted by greg1313 Exactly what is it that you don't understand? The chain rule is applied to find the derivative of compositions of functions. $\frac{d}{dx}f(g(x))\,=\,f'(g(x))g#39;(x)$
What is dy/dx??? Normally we use d/dx right?
No, we don't. "d/dx" without anything else makes no sense. "d/dx f(x)" may be used when "f(x)" is some expression too complicated to be easily written in a fraction but otherwise that would more commonly be written df/dx.

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