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Find (dy)/(dx) in the following:x y + y...

Find `(dy)/(dx)` in the following:`x y + y^2= tan x + y`

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To find \(\frac{dy}{dx}\) for the equation \(xy + y^2 = \tan x + y\), we will differentiate both sides of the equation with respect to \(x\). ### Step-by-Step Solution: 1. **Differentiate both sides of the equation:** \[ \frac{d}{dx}(xy + y^2) = \frac{d}{dx}(\tan x + y) \] ...
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