Home
Class 12
MATHS
Derivatives sin^(-1) ((sqrt(1+x)+sqrt(1-...

Derivatives `sin^(-1) ((sqrt(1+x)+sqrt(1-x))/2)` w.r.t `cos^(-1)x ` is

A

(1/2)

B

1

C

(-1/2)

D

(-1)

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos

  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos

Similar Questions

Explore conceptually related problems

(sin^(-1)x)/(sqrt(1+x))dx=

int (sin^(-1) x)/(sqrt(1 - x^2)) dx .

The derivative of sin^(-1) ((2x)/(1+x^(2))) w.r.t sin^(-1) ((1-x^(2))/(1+x^(2))) is

Derivative of cos^(-1)x w.r.t sin^(-1)x is

Derivative of sec^(-1) (1/(2x^(2)-1)) w.r.t sqrt(1-x^(2)) is

The derivative of tan^(-1) ((2x)/(1-x^(2))) w.r.t sin^(-1) ((2x)/(1+x^(2))) is

The derivative of cos^(-1)((1-x^(2))/(1+x^(2))) w.r.t. cot^(-1)((1-3x^(2))/(3x-x^(3))) is