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Posted by **stacey** on Wednesday, February 29, 2012 at 12:07am.

find dy/dx by implicit differentiation

1.4 cos x sin y = 1

2.tan(x/y)= x+y

- Calculus AP need help! -
**stacey**, Wednesday, February 29, 2012 at 12:09am1.) 4 cos x sin y = 1

2.) tan(x/y)= x+y

- Calculus AP need help! -
**Steve**, Wednesday, February 29, 2012 at 12:06pmusing 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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