How to find a derative by definition for such a function:

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- Jun 11th 2010, 03:20 AM #1

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- Jun 11th 2010, 03:26 AM #2

- Jun 11th 2010, 03:35 AM #3

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- Jun 11th 2010, 05:39 AM #4
You need to use the product rule and the chain rule...

Chain rule: .

Product rule: .

So in your case:

.

Can you see that this is a product of functions? So you need to use the product rule with and .

So

.

Now to find you need to use the chain rule twice...

Can you go from here?