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

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

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARDS QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS)|94 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE)(SECTION XII)(LONG ANSWER TYPE QUESTIONS) |1 Videos

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE |73 Videos

  • DETERMINANTS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (PREVIOUS YEAR.S BOARD QUESTIONS FOR PRACTICE )|45 Videos

Similar Questions

Explore conceptually related problems

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

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

Differentiate the following w.r.t.x. (sin^(-1) x)^x

Differentiate the following w.r.t. x: (sin^-1x)^x

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

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

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

Differentiate the following w.r.t. x: sin(cotx)

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

Differentiate the following w.r.t. x: e^(sin^-1x)