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If 2^x+2^y=2^(x+y) then (dy)/(dx) has th...

If `2^x+2^y=2^(x+y)` then `(dy)/(dx)` has the value equal to `-(2^y)/(2^x)` (b) `1/(1-2^x)` (c) `1-2^y` (d) `(2^x(1-2^y))/(2^y(2^x-1))`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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