Home
Class 12
MATHS
Differentiate tan^(-1){(sqrt(1+x^2)-sqrt...

Differentiate `tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))}` with respect to `cos^(-1)x^2`

Text Solution

Verified by Experts

The correct Answer is:
`-(1)/(2)`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 8|14 Videos

  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 9|3 Videos

  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 6|18 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

Differentiate tan^(-1)(( sqrt(1+x^(2))-1)/(x))

Differentiate tan^-1((4sqrt(x))/(1-4x))

Differentiate: e^(cos^(-1)sqrt(1-x^(2))

Differentiate tan^(-1){(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))} , 0 < x < pi

Differentiate tan^(-1)[(sqrt(1+x^2)-1)/x] with respect to x

Differentiate tan^(-1)((3x-x^3)/(1-3x^2)) , if x >1/(sqrt(3))

Differentiate sin^(-1)(2xsqrt(1-x^2)),\ -1/(sqrt(2))

Differentiate tan^(-1)((sqrt(x)+sqrt(a))/(1-sqrt(x a))) with respect to x

Differentiate tan^(-1) ((sqrt(1+x^(2))-1)/(x)) w.r.t. tan^(-1) ((x)/(sqrt(1-x^(2)))) .

Differentiate tan^(-1){(5x)/(1-6\ x^2)} , -1/(sqrt(6))ltxlt1/ (sqrt(6)) with respect to x