Home
Class 12
MATHS
Differentiate sqrt(1 + x^2) w.r.t. tan^(...

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

Text Solution

Verified by Experts

The correct Answer is:
`xsqrt(1 + x^2)`
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)(2x)/(1 - x^2) w.r.t. tan^(-1) x .

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

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

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

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

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

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

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