Differentiate the following w.r.t. x:
`x^(xcosx)+(x^2+1)/(x^2-1)`

Explanation

To differentiate the function \( y = x^{x \cos x} + \frac{x^2 + 1}{x^2 - 1} \) with respect to \( x \), we will follow these steps:

### Step 1: Identify the components of the function
We can break down the function into two parts:
- \( u = x^{x \cos x} \)
- \( v = \frac{x^2 + 1}{x^2 - 1} \)

### Step 2: Differentiate \( u \)
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