Home
Class 12
MATHS
(d)/(dx) {Sin ^(-1) ""(sqrt((1-x)/2)}=...

`(d)/(dx) {Sin ^(-1) ""(sqrt((1-x)/2)}=`

A

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

B

`(1)/( 1+ x ^(2))`

C

`(2)/( 1+ x ^(2))`

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|3 Videos

  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D|92 Videos

  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|112 Videos

  • DIFFERENTIAL EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2|15 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET -2|3 Videos

Similar Questions

Explore conceptually related problems

(d)/(dx) {Cos ^(-1) ""(sqrt((1 + x)/2))}=

(d)/(dx) {Tan ^(-1) ""(sqrt(1-x))/(1+ x) }=

(d)/(dx) {Tan ^(-1) "" sqrt([(x)/(1-x)])}=

(d)/(dx ) {Sin ^(-1) ""(x)/( sqrt(1+ x^(2)))}=

(d)/(dx) {Sin ^(-1) ""(2x)/(1+ x ^(2))}=

(d)/(dx) {Sin ^(2) Cot ^(-1) ""(sqrt(1+ x))/(1-x)}=

(d)/(dx) {Sin ^(-1)"" ((5x + 12 sqrt(1- x ^(2)))/(12))}=

(d)/(dx) {Tan ^(-1)"" (sqrt(1+ x ^(2))+ sqrt(1- x ^(2)))/( sqrt(1+ x ^(2))- sqrt(1- x ^(2)))}=

(d)/(dx) {Tan ^(-1) ""(sqrt (( x ^(2))/(a ^(2) -x ^(2))))}=

d/(dx){cos^(-1)x+Sin^(-1)sqrt(1-x^2)}