If 2^x+2^y=2^(x+y), then dy/dx is equal ...

If `2^x+2^y=2^(x+y)`, then dy/dx is equal to :

A

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

B

`((2^x+2^y))/((1+2^(x+y)))`

C

`2^(x-y)((2^y-1)/(1-2^x))`

D

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

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The correct Answer is:

C

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