Find `(dy)/(dx) " if " sin x + cos y = xy "`

Explanation

To solve the problem of finding \(\frac{dy}{dx}\) given the equation \( \sin x + \cos y = xy \), we will use implicit differentiation. Here’s the step-by-step solution:

### Step 1: Differentiate both sides with respect to \(x\)
We start with the equation:
\[ \sin x + \cos y = xy \]
Now, we differentiate each term with respect to \(x\).
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