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

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

Text Solution

Verified by Experts

The correct Answer is:
`1/4`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (Short Answer Type Questions)(Section VIII)|9 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (Short Answer Type Questions)(Section IX)|6 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (Short Answer Type Questions)(Section V)|23 Videos
  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE |73 Videos
  • DETERMINANTS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (PREVIOUS YEAR.S BOARD QUESTIONS FOR PRACTICE )|45 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

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

Differentiate tan^(-1) ((3x - x^3)/(1 - 3x^2)) w.r.t. tan^(-1)((2x)/(1 - x^2))