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

Explanation

To solve the equation \( (\cos x)^y = (\cos y)^x \) and find \( \frac{dy}{dx} \), 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:

\[ \log((\cos x)^y) = \log((\cos y)^x) \]
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