Home
Class 12
MATHS
d/(dx)[sin^(- 1)((sqrt(1+x)+sqrt(1-x))/2...

`d/(dx)[sin^(- 1)((sqrt(1+x)+sqrt(1-x))/2)]=`

A

`(1)/(sqrt(1-x2))`

B

`(1)/(2sqrt(x^(2)-1))`

C

`(1)/(2sqrt(1-x^(2)))`

D

`(-1)/(2sqrt(1-x^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - I : CHAPTER 11)|19 Videos
  • DIFFERENTIATION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)|24 Videos
  • DIFFERENTIAL EQUATIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|14 Videos
  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

Similar Questions

Explore conceptually related problems

(d)/(dx)[sin(2tan^(-1)sqrt((1+x)/(1-x)))]=

(d)/(dx)[sin^(-1)(xsqrt(1 - x)- sqrt(x)sqrt(1 - x^(2)))] is equal to

(d)/(dx)[sin^(-1)(x sqrt(1-x)-sqrt(x)sqrt(1-x^(2)))] is

(d)/(dx)[sin^(-1)x+sin^(-1)sqrt(1-x^(2))]=

(d)/(dx)[sin^(-1)sqrt(((1-x))/(2)]=

Differentiate the following function with respect to x:sin^(-1){(sqrt(1+x)+sqrt(1-x))/(2)},0

(d)/(dx)[sin^(2)cot^(-1)sqrt((1-x)/(1+x))] is

Differentiate sin(-1)[(sqrt(1+x)+sqrt(1-x))/2] with respect to 'x'.

d//dx[sin^(2)cot^(-1)""(1)/(sqrt((1+x)/(1-x)))] , is equal to -