Differentiate w.r.t `x`
`sin^(2) x + cos ^(2) y = 1`

Explanation

To differentiate the equation \( \sin^2 x + \cos^2 y = 1 \) with respect to \( x \), we will follow these steps:

### Step 1: Differentiate both sides of the equation
We start by differentiating both sides of the equation with respect to \( x \):
\[ \frac{d}{dx}(\sin^2 x) + \frac{d}{dx}(\cos^2 y) = \frac{d}{dx}(1) \]

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