Find `(dy)/(dx)` of the functions given by `(cosx)^y=(cosy)^x`

Explanation

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

### Step 1: Take the logarithm of both sides
We start with the equation:
\[ (\cos x)^y = (\cos y)^x \]
Taking the natural logarithm of both sides gives:
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