Calculus AP need help!

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its difficulty problem.
find dy/dx by implicit differentiation
1.4 cos x sin y = 1

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

  • Calculus AP need help! -

    1.) 4 cos x sin y = 1
    2.) tan(x/y)= x+y

  • Calculus AP need help! -

    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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