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" sf "x=e^(x(y))" frove that "(dy)/(dx)=...

" sf "x=e^(x_(y))" frove that "(dy)/(dx)=(x-y)/(x log x)|[" please "],[x+cdots*alpha]

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

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x^(y)=e^(x-y) so,prove that (dy)/(dx)=(log x)/((1+log x)^(2))