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Use logarithmic differentiation to find the derivative of the function.

$ y = \sqrt {\frac {x -1}{x^4 + 1}} $

$y^{\prime}=\sqrt{\frac{x-1}{x^{4}+1}}\left(\frac{1}{2 x-2}-\frac{2 x^{3}}{x^{4}+1}\right)$

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