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"If "xy+y^(2)=tan x + y," then find "(dy...

`"If "xy+y^(2)=tan x + y," then find "(dy)/(dx).`

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The given relation is `xy+y^(2)=tan x + y.`
Differentiating both sides with respect to x, we get
`(d)/(d)(xy)+(d)/(dx)(y^(2))=(d)/(dx(tan x) +(dy)/(dx)`
`"or "[y.1+x.(dy)/(dx)]+2y(dy)/(dx)=sec^(2) x+(dy)/(dx)`
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