Hi, I do not understand the rule 5. Is it possible to include an example for me to understand better?

Thanks.

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- Nov 18th 2012, 11:21 PMfantasyloDifferentiation Rules
Hi, I do not understand the rule 5. Is it possible to include an example for me to understand better?

Thanks.

Attachment 25804 - Nov 18th 2012, 11:30 PMProve ItRe: Differentiation Rules
That's the chain rule. It's easier to write it like this: . Basically it means that if you have a composition of functions, you need to isolate the "inner" function (u) and work out its derivative, then write y as a function of u and evaluate its derivative. After converting it back to a function of x, multiply the two derivatives together to get the total derivative.

- Nov 18th 2012, 11:44 PMMarkFLRe: Differentiation Rules
Here are a couple of examples:

a)

b)

- Nov 19th 2012, 08:00 AMProve ItRe: Differentiation Rules
- Nov 19th 2012, 09:46 PMfantasyloRe: Differentiation Rules
Okay. I got it. Thank you Prove It and MarkFL2 for your clear examples and explanation!!