Home
Class 11
MATHS
Find the derivative of f (x ) = Tan ^(-1...

Find the derivative of `f (x ) = Tan ^(-1) ((2x )/( 1 - x ^(2))) w.r.t g (x) =Sin ^(-1) ((2x )/( 1 + x ^(2))).`

Text Solution

Verified by Experts

The correct Answer is:
`1`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-9(d)|15 Videos

  • DIFFERENTIATION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-9(b)|37 Videos

  • APPLICATION OF DERIVATIVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-10(h)|35 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISE -6(B)|21 Videos

Similar Questions

Explore conceptually related problems

Find the derivative of Tan^(-1)((2x)/(1-x^2)) w.r.to x

The derivative of Sin ^(-1) "" ( 2x )/( 1 + x ^(2)) w.r.t Tan ^(-1) "" ( 2x )/( 1-x ^(2)) is

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

Find the derivative of x = tan h^(2)y , w.r.to x.

The derivative of Tan ^(-1) "" (2x)/(1 - x ^(2)) w.r.t Cos ^(-1)"" (1- x ^(2))/(1 + x ^(2)) is

The derivative of Cos ^(-1) "" (1- x ^(2))/( 1 + x ^(2)) w.r.t. Tan ^(-1) "" (2x)/( 1 - x ^(2)) is

Find the derivative of f (x) = x ^( sin ^(-1))w.r.t g (x) = Sin ^(-1)x.

The derivative of Tan h^(-1) 2x w.r.t x is

Find the derivative of the function wrt x. sin ^(-1) (2x sqrt (1- x ^(2)))

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

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-DIFFERENTIATION-Exercise-9(c )
  1. Differentiate f(x) = e^(x) w.r.to g(x) = sqrt(x).

    Text Solution

    |

  2. Differentiate f(x) = e^(sin x) w.r.to g(x) = sin x.

    Text Solution

    |

  3. Find the derivative of f (x ) = Tan ^(-1) ((2x )/( 1 - x ^(2))) w.r.t ...

    Text Solution

    |

  4. If y=e^(a sin^(-1)x) then prove that dy/dx=(ay)/(sqrt(1-x^(2)).

    Text Solution

    |

  5. Find the derivative of Tan^(-1)((3a^(2)x-x^(3))/(a(a^(2)-3x^(2)))).

    Text Solution

    |

  6. Simplify each of the following: tan^(-1)(Secx+tanx)

    Text Solution

    |

  7. Write the following function in the simplest form : "tan"^(-1)(sqrt(...

    Text Solution

    |

  8. Find the derivatives of the following function. (logx)^(tanx)

    Text Solution

    |

  9. Find the derivatives of the following function. (x^(x))^(x)=x^(x^(2)...

    Text Solution

    |

  10. Find the derivative of 20^(log(tanx)).

    Text Solution

    |

  11. Find the derivative of the w.r.to x. x ^(x) + e ^(e ^(x))

    Text Solution

    |

  12. Find the derivatives of the following function. x.logx.log(logx)

    Text Solution

    |

  13. Find the derivative of e ^(- ax ^(2)) .sin (x log x ) w.r.t.x

    Text Solution

    |

  14. sin ^(-1) ((2^(x +1))/( 1 + 4 ^(x))) ({:(put), ( 2 ^(x) = tan theta ):...

    Text Solution

    |

  15. Find (dy)/(dx) for the following functions. x=3cos t-2 cos^(3)t, ...

    Text Solution

    |

  16. If x=(3at)/(1+t^(3)),y=(3at^(2))/(1+t^(3)) then find dy/dx.

    Text Solution

    |

  17. Find (dy)/(dx) if x =a ( cos t + t sin t ), y = a ( sin t - t cos t...

    Text Solution

    |

  18. If x=a[(1-t^(2))/(1+t^(2))],y=(2bt)/(1+t^(2) then find dy/dx.

    Text Solution

    |

  19. Differentiate f(x)=log(a)x with respect to g(x)=a^(x).

    Text Solution

    |

  20. Differentiate f(x) with respect to g(x) for the following . f(x)=sec...

    Text Solution

    |