If x^(y) = e^(2(x-y)), then (dy)/(dx) is...

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

A

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

B

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

C

`(2)/(2+ log x)`

D

`(2(1-log x))/((2+ log x)^(2))`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

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

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

If y = sin^(-1) sqrt(1-x) , then (dy)/(dx) is equal to

If y="sec"("tan"^(-1)x) , then (dy)/(dx) is equal to

If 2y =sin^(-1) (x + 5y) , then (dx)/(dy) is equal to

IF y= log_2 log_2 (x) then (dy)/(dx) is equal to

If y = cot^(-1) ("tan" (x)/(2)) , then (dy)/(dx) is equal to

If y=(logx)^(2) , then (dy)/(dx) at x=e is equal to a)2 b) e/2 c)e d) 2/e