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More calculus help please?

This math is making me feel stupid

I've come back with two more questions:

Determine dy/dx of y=xe^(1/x^3) + ln(x/(x^(2)+1)) at (1,e)

and
Determine dy/dx when xsin2y=ycos2x.

As always, any help is appreciated. Thanks. @_@

December 19, 2013

4 Comments • Newest first

Pwnagewafflez

Thank you so much for the help c:

Reply December 19, 2013
HolyDragon

First one
xe^(x^-3)
Product rule

ln(x/(x^(2)+1))
Chain rule
Doing the ln becomes
(x^2 +1)/(x) -> x+ 1/x
Derive again

Reply December 19, 2013 - edited
Pwnagewafflez

But how? Sorry for the trouble.

Reply December 19, 2013 - edited
overalldk

1. -2e
2. (-2ysin2x - sin2y)/(2xcos2y - cos2x)

Reply December 19, 2013 - edited