Home
Class 11
MATHS
If y = tan^(-1) ((1+ x)/(1-x)). find y'...

If `y = tan^(-1) ((1+ x)/(1-x)).` find `y'`.

Text Solution

Verified by Experts

The correct Answer is:
`y' = (1)/( 1 + x^2)`.
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    FULL MARKS|Exercise EXERCISE 1|5 Videos
  • DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    FULL MARKS|Exercise EXERCISE 2 (Find the derivative of the following functions with respect to corresponding independent variables.)|20 Videos
  • COMBINATORICS AND MATHEMATICAL INDUCTION

    FULL MARKS|Exercise ADDITIONAL QUESTIONS|33 Videos
  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    FULL MARKS|Exercise EXERCISE 9.6|25 Videos

Similar Questions

Explore conceptually related problems

If y = tan^(-1) ((1+x^2)/(1-x^2)), find y' .

If y = tan^(-1)((1+x^(2))/(1-x^(2))) Find dy/dx .

If y=tan^(-1)((2x)/(1-x^2))" find "(dy)/(dx) .

y = tan^(-1)((3x-x^(3))/(1-3x^(2))), find dy/dx.

y=tan^(-1)(x/(1+sqrt(1-x^2)))

If y = e^(tan^(-1) x) . find dy/dx

If y=btan^(-1)(x/a+tan^(-1)y/x) ,find (dy)/(dx)dot