Home
Class 12
MATHS
If y=sin^(-1)[xsqrt(1-x)-sqrt(x)sqrt(1-x...

If `y=sin^(-1)[xsqrt(1-x)-sqrt(x)sqrt(1-x^(2))]` then find `(dy)/(dx)`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(sqrt(1-x^(2)))-(1)/(2sqrt(x-x^(2)))`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART IV) Sample Question|2 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART IV) QUESTION FOR PRACTICE (1 MARK) |4 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART III) QUESTION FOR PRACTICE (1 MARK) |8 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

If y=x^(sin^(-1x)) + x^3(sqrt(x^2+4)/(sqrt(x^3+3)) then find (dy)/(dx) .

If y=sin^(-1)[((5x+12(sqrt(1-x^2)))/13)] then find (dy)/(dx) .

If y = tan^(-1)sqrt(1+x^2) then find (dy)/(dx) .

If y=cos^(-1)[(2x-3sqrt(1-x^(2)))/(13)] then find (dy)/(dx)

If y=sqrt(x+sqrt(x+sqrt(x+...oo))) , then find (dy)/(dx) .

If y= cos^(-1)[(3x+4sqrt(1-x^2))/5] then find (dy)/(dx) .

If y=sin[sqrt(sin sqrt(x))] , then find (dy)/(dx) .

If y=sin^(-1)(2x sqrt(1-x^(2))) , then find (dy)/(dx) and determine its value at x = 0.