Find `(dy)/(dx)` in the following:`sin^2y+cosx y=pi`

Explanation

To find \(\frac{dy}{dx}\) for the equation \( \sin^2 y + \cos(xy) = \pi \), we will differentiate both sides with respect to \(x\) and apply implicit differentiation.

### Step-by-Step Solution:

1. **Differentiate both sides:**
\[ \frac{d}{dx}(\sin^2 y) + \frac{d}{dx}(\cos(xy)) = \frac{d}{dx}(\pi) \]
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