Find \( \frac{d y}{d x} \) when : \[ y=x^{\sin x-\cos x}+\frac{x^{2}-1}{x^{2}+1} \]

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Find \( \frac{d y}{d x} \) when :
\[
y=x^{\sin x-\cos x}+\frac{x^{2}-1}{x^{2}+1}
\]
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