If \( y=f\left(\frac{2 x-1}{x^{2}+1}\right) \) and \( f^{\prime}(x)=\sin x^{2} \), then find \( ...

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If \( y=f\left(\frac{2 x-1}{x^{2}+1}\right) \) and \( f^{\prime}(x)=\sin x^{2} \), then find \( \frac{d y}{d x} \)
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