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" [ The prove that "(dy)/(dx)=((1+log y)...

" [ The 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))/(log y)

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

Differentiate the following w.r.t.x. 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 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)=((logey)^(2))/(log y) .

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

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