Home
Class 12
MATHS
If x^(y) = e^(2(x-y)), "then" (dy)/(dx...

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

A

`(y log 2)/(xlog(2x))`

B

`y/(x log (2x))`

C

`(x log 2-y)/(x log 2x)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise HIGHER ORDER DERIVATIVES|32 Videos
  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|138 Videos
  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise LOGARITHMIC DIFFERENTIATION|30 Videos
  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos
  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

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

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

If x^y = e^(x-y) " then " dy/dx ?