Home
Class 12
MATHS
y=tan^-1[(3x-x^3)/(1-3x^2)],-1/sqrt3ltxl...

`y=tan^-1[(3x-x^3)/(1-3x^2)],-1/sqrt3ltxlt1/sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
`(3)/(1+x^(2))`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise DIFFERENTIABILITY ( SHORT ANSWER TYPE QUESTIONS-II)|12 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise DIFFERENTIABILITY ( LONG ANSWER TYPE QUESTIONS-I)|67 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise DIFFERENTIABILITY ( VERY SHORT ANSWER TYPE QUESTIONS )|15 Videos

  • APPLICATIONS OF DERIVATIVES

    OSWAAL PUBLICATION|Exercise TOPIC - 5 MAXIMA AND MINIMA (LONG ANSWER TYPE QUESTIONS - II)|29 Videos

  • DETERMINANTS

    OSWAAL PUBLICATION|Exercise TOPIC-2 SOLUTIONS OF SYSTEM OF LINEAR EQUATIONS (LONG ANSWER TYPE QUESTIONS -II )|24 Videos

Similar Questions

Explore conceptually related problems

y = tan^(-1)((3x-x^3)/(1-3x^2)), 1/(sqrt3) , x , 1/(sqrt3) .

Prove that tan^(-1)x+"tan"^(-1)(2x)/(1-x^(2))=tan^(-1)[(3x=x^(3))/(1-3x^(2))],|x|lt1/(sqrt(3))

Prove that tan^(-1)x+tan^(-1)((2x)/(1-x^(2)))=tan^(-1)((3x-x^(3))/(1-3x^(2)))|x|lt1/(sqrt(3))

Prove the following: 2tan^(-1)x=tan^(-1)((2x)/(1-x^(2))),-1ltxlt1

If y = tan^(-1) ((sqrt(1+x^(2)) -sqrt(1-x^(2)))/(sqrt(1+x^(2)) + sqrt(1-x^(2)))) then dy/dx =