(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

e^(xy) + xy = 2, find y'

the actual answer is -(y/x)

3. The attempt at a solution

xy + lnxy = ln2

xy' + y + 1/x + y'/y = 1/2

xy' + 1/y (y') = 1/2 - y -1/x

y'(x + 1/y) = 1/2 - y - 1/x

y' = (1/2 - y - 1/x)/(x+1/y)

i simplified it further but could not get the right answer. help would be appreciated

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# Homework Help: Dx ln problem

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