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" 22.If "y log x=(x-y)," prove that "(dy...

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

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"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)).

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))

if y=log x^(x) prove that (dy)/(dx)=1+log x

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

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

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

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