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

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

A

`(y(y+x logy))/(x(y logx +x))`

B

`(y(x+y log x))/(x(y log x +y))`

C

`(y(y+x log y))/(x (x+y log x))`

D

None of these

Verified by Experts

The correct Answer is:

C

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