Differentiate w.r.t. x the function `x^(x^(2)-3)+(x-3)^(x^2)` for `x > 3`.

Explanation

To differentiate the function \( y = x^{(x^2 - 3)} + (x - 3)^{x^2} \) with respect to \( x \), we will break it down into two parts and differentiate each part separately.

### Step 1: Define the function
Let:
\[ y = x^{(x^2 - 3)} + (x - 3)^{x^2} \]

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