Home
Class 12
MATHS
If x^(y)=e^(x-y), then (dy)/(dx) is equa...

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

A

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

B

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

C

`(logx)/(log(x-y))`

D

`(logx)/(1+logx)^2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

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

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

If y=x+e^x , then (d^2x)/(dy^2) is equal to

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

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

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