If `x^(x) = y^(y)`, then `(dy)/(dx)` is

A

`- y/x`

B

` - x/y`

C

1+log (x/y)

D

`(1+logx)/(1+log y)`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

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

IF x^(y)=e^(x-y), then (dy)/(dx) is

If x^(y) = y^(x) find (dy)/(dx)

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

If y=x^(x^(2)), then (dy)/(dx) equals

If y=x^(sin x), then find (dy)/(dx)

If x^(y) = e^(x-y), (dy)/(dx) =

If y = 5^(x) then dy/dx =

y = (x^(x))^(x) , then dy/dx =