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" 25.If "y^(x)=e^(y-x)" then prove that ...

" 25.If "y^(x)=e^(y-x)" then prove that "(dy)/(dx)=((1+log y)^(2))/(log y)

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If y^(x)=e^(y-x) , then prove that (dy)/(dx)=((1+log y)^(2))/(logy) .

If y^(x)=e^(y-x)" prove that, " (dy)/(dx)=((logey)^(2))/(log y) .

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

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

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

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

Differentiate the following w.r.t.x. If y^x = e^(y - x) , prove that (dy)/(dx) = ((1 + log y)^2)/(log y)

If x^(y)=e^(x-y) then prove that (dy)/(dx)=(ln x)/((1+ln x)^(2))

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

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