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

Explanation

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

### Step 1: Take the logarithm of both sides
We start by taking the natural logarithm of both sides of the equation:

\[ \ln(x^y) = \ln(y^x) \]
...