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

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

A

` x^(x^(x) )x^(x) log x (1+ logx -(1)/( xlog x)) `

B

` x^(x^(x) )x^(x) log x (1+ logx +(1)/( xlog x)) `

C

` x^(x^(x) )x^(x) (1+ logx -(1)/( x)) `

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • Differential Equation

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTION|277 Videos

  • INTEGRATION

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|582 Videos

Similar Questions

Explore conceptually related problems

If x^(y)=e^(x-3) then dy/dx is equal to which one of the following ?

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

If y=e^(x+3 log x) , then dy/dx=?

If x^(y)=e^(x-y) , then dy//dx is equal to which one of the following ?

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

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