Home
Class 12
MATHS
Differentiate the following functions wi...

Differentiate the following functions with respect to x.
`y= (sin x)^(x)+ ((1)/(x))^(cos x)`

Text Solution

Verified by Experts

The correct Answer is:
`(sin x)^(x) [log sin x + x.cot x] + ((1)/(x))^(cos x) [-(cos x)/(x)- sin x.log x]`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Exercise-5.1|84 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Exercise-5.2|20 Videos
  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - C)|4 Videos
  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

Differentiate the following functions with respect to x. y= (sin x)^(x) + sin x^(x)

Differentiate the following functions with respect to x: x+ sin x = sin y

Differentiate the following functions with respect to x. y= cos (x^(x)) + sin (x^(x))

Differentiate the following functions with respect to x. y= x^(x).sin x+ (sin x)^(x)

Differentiate the following functions with respect to x. x^(y) + y^(x)= 1000