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

Explanation

To find \(\frac{dy}{dx}\) for the equation \(xy + y^2 = \tan x + y\), we will differentiate both sides with respect to \(x\). Here’s a step-by-step solution:

### Step 1: Differentiate both sides
Start with the given equation:
\[ xy + y^2 = \tan x + y \]
Now, differentiate both sides with respect to \(x\):
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