- #1
Rhduke
- 6
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Homework Statement
e^(xy) + xy = 2, find y'
the actual answer is -(y/x)
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