Home
Class 12
MATHS
Differentiate the following w.r.t. x:(si...

Differentiate the following w.r.t. x:`(sinx)^x+sin^(-1)sqrt(x)`

Text Solution

Verified by Experts

The correct Answer is:
`(sinx)^(x)(x cot x+log sin x)+(1)/(2)(1)/(sqrt(x-x^(2)))`.
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT GUJARATI|Exercise EXERCISE 5.6|11 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT GUJARATI|Exercise EXERCISE 5.7|17 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT GUJARATI|Exercise EXERCISE 5.4|10 Videos

  • APPLICATION OF INTEGRALS

    NCERT GUJARATI|Exercise Miscellaneous Exercise|19 Videos

  • DETERMINANTS

    NCERT GUJARATI|Exercise Miscellaneous Exercises on Chapter 4|18 Videos

Similar Questions

Explore conceptually related problems

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

Differentiate the following w.r.t.x. x^(x^x)

Differentiate the following w.r.t.x. x^(x^2)

Differentiate the following w.r.t.x. x^(x)

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

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

Differentiate the following w.r.t. x: (x)/(sin^(n)x)

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

Differentiate the following w.r.t.x. (sinx)^(cosx)

Differentiate the following w.r.t.x. x^sqrtx