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

Explanation

To find \(\frac{dy}{dx}\) given the equation \(xy = e^{(x-y)}\), we will 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, we have:
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