Home
Class 12
MATHS
Differentiate the following function w.r...

Differentiate the following function w.r.t. x,
`(logx)^(x)+x^(logx)`.

Text Solution

Verified by Experts

The correct Answer is:
`(logx)^(x-1)[1+logxlog(logx)]+2x^(logx-1)*logx`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART VI) Sample Questions |3 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART VI) QUESTION FOR PRACTICE (4 MARK) |9 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART V) QUESTION FOR PRACTICE (4 MARK) |6 Videos

  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|11 Videos

  • DETERMINANTS

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE |39 Videos

Similar Questions

Explore conceptually related problems

Differentiate the function x^(cosx) w.r.t.x

Differentiate the following functions : tan(x^(2)+5)

Differentiate the following w.r.t x: e^(x^(3))

Differentiate the following w.r.t x: log(cose^(x))

Differentiate the following functions : "sec"((5)/(x))

Differentiate each of the following w.r.t. x. "log tan"(x)/(2)

Differentiate the function log_(x)5

Differentiate each of the following w.r.t. x. e^(sqrt(cotx))

Differentiate the following functions : "cosec "(sqrt(x^(2)+2))