Posted by stacey on Wednesday, February 29, 2012 at 12:07am.
1.) 4 cos x sin y = 1
2.) tan(x/y)= x+y
using product rule and chain rule,
4 (-sinx)(siny) + 4(cosx)(cosy y') = 0
y' = sinx*siny / cosx*cosy
= tanx * tany
--------------------
sec^2(x/y)*(1/y - x/y^2 * y') = 1 + y'
y*sec^2(x/y) - y^2
--------------------- = y'
y^2 + x*sec^2(x/y)
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