If `cos(x+y)=y sin x,` find `(dy)/(dx).`

Explanation

To find \(\frac{dy}{dx}\) given the equation \( \cos(x + y) = y \sin x \), 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:
\[ \cos(x + y) = y \sin x \]
...