Hello,

I have a problem with derivative.Sorry,my topic is abit off :P,not use to doing this stuff at the computer.

(Headbang) }][[]]}

The book says that the right answer is

Thank you

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- Oct 6th 2010, 12:19 PMTafkaProblem with derivative[Edited]
Hello,

I have a problem with derivative.Sorry,my topic is abit off :P,not use to doing this stuff at the computer.

(Headbang) }][[]]}

The book says that the right answer is

Thank you - Oct 7th 2010, 09:23 AMOpalg
This question involves multiple use of the chain rule. To make it manageable, split it into smaller sections. Start by putting . Then . By the chain rule,

Now you have to find . Do that in the same way, putting , where , and using the chain rule to find in terms of . Then use the chain rule once more to find . Finally, put everything together into a single expression and simplify it.

BTW this is a classic example of a case where using parentheses correctly makes things much easier to read: looks like a jumble, but is a lot clearer.