Home
Class 12
MATHS
If y = sin^(-1) (x^(2)/(sqrt(x^(4)+a^(4)...

If `y = sin^(-1) (x^(2)/(sqrt(x^(4)+a^(4))))` then dy/dx =

A

`a^(4)/(x^(4)+a^(4))`

B

`x^(4)/(x^(4)+a^(4))`

C

`(2a^(2)x^(2))/(x^(4)+a^(4))`

D

`(2a^(2)x)/(x^(4)+a^(4))`

Text Solution

Verified by Experts

The correct Answer is:
D
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

If y = sin^(-1) (2x sqrt(1-x^(2))) , then dy/dx at x = 1/2 is

If x = cos^(-1) (1/(sqrt(1+t^(2)))), y = sin^(-1) (t/(sqrt(1+t^(2)))) then dy/dx =

If y = sin^(-1) sqrt(1-x)+ cos^(-1) sqrtx then dy/dx =

If y = sin^(-1) (x sqrt(1-x) - sqrtx sqrt(1-x^(2))) then dy/dx =