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# help with differentiation watch

1. Diffentiate the following;
y= cos[(1/x)+(1/x^2)]

y= x^sinx

y=sec(1/x)

Ive attempted to answer them using the chain rule however i dont think my answers are correct. Any help much appreciated
2. i get

1)
2)

3)
3. yay I got the answers correct to 1 and 3 but still confused on how you got the answer to question 2?

4. because you cant differentiate this initially easily you can take the logs of both sides.

differentiate both sides using implicit differentiation.

5. You should subsitute y = x^sinx into the last equation to get it in terms of x.
6. Cheers, thanks very much for your help!

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Updated: October 9, 2006
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