Home
Class 12
MATHS
Find the derivative of tan^(-1)(2x)/(1-x...

Find the derivative of `tan^(-1)(2x)/(1-x^2)wdotrdottsin^(-1)(2x)/(1+x^2)`

Text Solution

Verified by Experts

The correct Answer is:
1
`"Let "y=tan^(-1)""(2x)/(1-x^(2))=2tan^(-1)x`
`"and "z= sin^(-1)""(2x)/(1+x^(2))=2tan^(-1)x`
`therefore" "(dy)/(dx)=1`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIATION

    CENGAGE|Exercise Exercise 3.7|6 Videos

  • DIFFERENTIATION

    CENGAGE|Exercise Exercise 3.8|15 Videos

  • DIFFERENTIATION

    CENGAGE|Exercise Exercise 3.5|16 Videos

  • DIFFERENTIAL EQUATIONS

    CENGAGE|Exercise Question Bank|25 Videos

  • DOT PRODUCT

    CENGAGE|Exercise DPP 2.1|15 Videos

Similar Questions

Explore conceptually related problems

Find the derivative of tan^(-1)(2x)/(1-x^(2))quad w.r.t sin^(-1)(2x)/(1+x^(2))

Find the range of tan^(-1)((2x)/(1+x^(2)))

Knowledge Check

  • The derivative of sin^(-1)((2x)/(1+x^2)) w.r.t. tan^(-1)((2x)/(1-x^2))

    A
    `-2`
    B
    `-1`
    C
    1
    D
    2

  • The derivation of tan^(-1) "" [2x //(1-x^2)]w.r.t sin^(-1)"" {2x//(1+x^2)} Is ……

    A
    `(2)/(1+x^2)`
    B
    `(2)/(sqrt(1-x^2))`
    C
    `1`
    D
    None

  • The derivative of (sin(-1)) (2x/1+ x^2) w.r.t (tan(-1)) (2x/ 1-x^2) is :

    A
    -2
    B
    -1
    C
    14
    D
    2

    • Similar Questions

    Explore conceptually related problems

    Find the derivative of (-1)x^(-1)+2x^(2)

    The derivative of tan^(-1)2(x)/(1-x^(2)) with respect to sin^(-1)2(x)/(1+x^(2)), is

    Find the derivative of sin^(-1)((2^(x+1))/(1+4^x))

    Find the derivative of (e^(x))/(1 + x^(2))

    Find the derivative of 2/(x+1)-x^(2)/(3x-1) .

    Home
    Profile