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If x^y=e^(x-y) , prove that (dy)/(dx)=(l...

If `x^y=e^(x-y)` , prove that `(dy)/(dx)=(logx)/((1+logx)^2)`

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$$ x^{y}=e^{x-y} $$ On taking log both sides $$ \begin{aligned} &\log x^{y}=\log e^{x-y} \\ &y \log x=(x-y) \log e=x-y \\ ...
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