If log(x+y)=log(xy)+a,"show that"(dy)/(d...

If `log(x+y)=log(xy)+a,"show that"(dy)/(dx)=-(y^(2))/(x^(2))`

A

`(y)/(x)`

B

`-(y)/(x)`

C

`(y^(2))/(x^(2))`

D

`(-y^(2))/(x^(2))`

Verified by Experts

The correct Answer is:

D

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