If e^x+e^y=e^(x+y), prove that (dy)/(d...

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

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If y=x+1/(x+1/(1/(x+))), p rov et h a t(dy)/(dx)=y/(2y-x)
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