If `y=(sinx-cosx)^(sinx-cosx)` ,`pi/4 ltxlt (3pi)/ 4` find dy/dx

Explanation

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

### Step 1: Take the logarithm of both sides
We start by taking the natural logarithm of both sides to simplify the differentiation process.

\[ \ln y = \ln\left((\sin x - \cos x)^{(\sin x - \cos x)}\right) \]
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