Home
Class 12
MATHS
If x^(y)=e^(x-y)," then "(1+logx)^(2)y(1...

If `x^(y)=e^(x-y)," then "(1+logx)^(2)y_(1)=`

A

`e^(x)`

B

`e^(y)`

C

`x-y`

D

`logx`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - I : CHAPTER 11)|19 Videos
  • DIFFERENTIATION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)|24 Videos
  • DIFFERENTIAL EQUATIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|14 Videos
  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

Similar Questions

Explore conceptually related problems

If x^(y)=e^(x)," then "(logx)^(2)y_(1)=

If e^(x)+e^(y)=e^(x+y)" then "y_(1)=

If y=e^(x)sinx," then "y_(2)-2y_(1)=

If y=log(e^(-x)+xe^(-x))," then " (1+x)y_(1)=

If y=e^(1+logx)," then: "(dy)/(dx)

If y=tan^(-1)((2)/(e^(-x)-e^(x)))" then "(1+e^(2x))y_(1)=

If y=e^(x)(cosx+sinx)," then "y_(2)-2y_(1)=

If y=sin(e^(x))+cos(e^(x))," then "y_(2)-y_(1)=

If x^(y)=e^(x-y) then prove that (dy)/(dx)=(logx)/((1+logx)^(2))

If y=log(logx)," then "xy_(2)+x(y_(1))^(2)=