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[" 23.If "y^(x)=e^(y-x)],[" then show th...

[" 23.If "y^(x)=e^(y-x)],[" then show 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))/(log y)

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

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

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)

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

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