Home
Class 12
MATHS
The derivative of Sin ^(-1) sin (x ^(2)...

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

A

`(1)/(|x| sqrt(25 x ^(2)-1))`

B

`-(3)/(|x| sqrt( x ^(2)-9))`

C

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

D

`2x`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|114 Videos
  • DIFFERENTIATION

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

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-4|6 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

The derivative of Sin ^(-1) 2x sqrt(1-x ^(2)) w.r.t x is

The derivative of log _(10) [Sin ^(-1) (x ^(2)) ] w.r.t x is

The derivative of Cos ^(-1) (2x ^(2) -1) w.r.t x is

The derivative of Sec ^(-1)"" (1)/( 2x ^(2) -1) w.r.t . sqrt(1+ 3x ) at x =- 1/3 is

The derivative of Cos ^(-1) (4x ^(3) -3x) w.r.t x is

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

The derivative of Cos ^(-1) (2x ^(2) -1) w.r.t. Cos ^(-1) x is

The derivative of Sin ^(-1) (3x -4x^(3)) w.r.t. Tan ^(-1)"" (x )/( sqrt(1-x ^(2))) is

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

The derivative of log (x +sqrt(x ^(2) + a^(2))) w.r.t x is