If \( y=(x-1) \log (x-1)-(x+1) \log (x+1) \), prove that \( \frac{d y}{d x}=\log \left(\frac{x-1...
If \( y=(x-1) \log (x-1)-(x+1) \log (x+1) \), prove that \( \frac{d y}{d x}=\log \left(\frac{x-1}{x+1}\right) \)
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