If x^(y)=y^(x) then show that dy/dx=(y(x...

If `x^(y)=y^(x)` then show that `dy/dx=(y(xlogy-y))/(x(ylogx-x))`.

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If x^(y)=e^(x-y), show that (dy)/(dx)=(y(x-y))/(x^(2))

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