1.

`sin^(2)y + cos xy = k`

Answer» `sin^(2)y + cos xy = k`
Differentiate both sides w.r.t. x
` 2sin y cos y (dy)/(dx) + (-sin xy) (d)/(dx)(xy) =0`
`rArr sin 2y (dy)/(dx)-sin xy(x(dy)/(dx)+ y .1)=0`
`rArr (dy)/(dx)(sin2y- x sin xy)= ysin xy`
`rArr (dy)/(dx)=(y sin xy)/(sin 2y = x sin xy)`


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