If \( y=\sqrt{\frac{x-1}{x+1}} \); prove that \( \frac{d y}{d x}=\frac{1}{(x+1) \sqrt{x^{2}-1}} \)

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If \( y=\sqrt{\frac{x-1}{x+1}} \); prove that \( \frac{d y}{d x}=\frac{1}{(x+1) \sqrt{x^{2}-1}} \)
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