If \(x^{y} = e^{x - y}\), prove that \(\frac{\text{dy}}{\text{dx}} = = \frac{\log x}{(1 + \log x...

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If \(x^{y} = e^{x - y}\), prove that \(\frac{\text{dy}}{\text{dx}} = = \frac{\log x}{(1 + \log x...
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