If `x y=e^(x-y)` , find `(dy)/(dx)` .

Explanation

To find \(\frac{dy}{dx}\) for the equation \(xy = e^{(x - y)}\), we can follow these steps:

### Step 1: Take the natural logarithm of both sides
We start with the equation:
\[ xy = e^{(x - y)} \]
Taking the natural logarithm of both sides gives us:
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