Home
Class 12
MATHS
If y = tan^(-1) ((2x)/(1-x^(2))) then dy...

If `y = tan^(-1) ((2x)/(1-x^(2)))` then dy/dx =

A

(-1/x)

B

`sex^(-1)((2x)/(1-x^(2))`

C

`1/(1+x^(2))`

D

`2/(1+x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos
  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos

Similar Questions

Explore conceptually related problems

If y = tan^(-1)((x+a)/(1-xa)) then (dy)/(dx) =

If y = sin^(-1) (2x sqrt(1-x^(2))) , then dy/dx at x = 1/2 is

If x = e^(tan^(-1)((y-x^(2))/x^(2)) then dy/dx =

If I = int tan^(-1)((2x)/(1-x^(2)))*dx then I-2x*tan^(-1)x =

If y = (1+1/x^(2))/(1-1/x^(2)) then dy/dx is

HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
  1. d/dx cot^(-1) (cot x + cosec x) =

    Text Solution

    |

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

    Text Solution

    |

  3. If y = tan^(-1) ((2x)/(1-x^(2))) then dy/dx =

    Text Solution

    |

  4. If y = tan^(-1) ((2tanx)/(1-tan^(2)x)), then dy/dx =

    Text Solution

    |

  5. If y = tan^(-1) [x/(1+sqrt(1-x^(2)))] + sin [2tan^(-1) sqrt((1-x)/(1+x...

    Text Solution

    |

  6. If y = tan^(-1) ((4x)/(1+5x^(2))) + tan^(-1) ((2+3x)/(3-2x))then, dy/d...

    Text Solution

    |

  7. If y = tan^(-1)(log(e/x^(2))/(log(ex^(2)))) + tan^(-1) ((3+2 log x)/(1...

    Text Solution

    |

  8. If y = sin^(-1) ((acosx +b sinx )/(sqrt(a^(2)+b^(2)))), a, b gt0, dy/...

    Text Solution

    |

  9. d/dx tan^(-1) ((2+3 tan x)/(3-2 tan x)) =

    Text Solution

    |

  10. d/dx tan^(-1) [(x-x^(1/2))/(1+x^(3/2))] =

    Text Solution

    |

  11. If y = tan [tan^(-1) x + cot^(-1) (x+1)] then dy/dx =

    Text Solution

    |

  12. d/dx [tan (tan^(-1) (x/a) - tan^(-1) ((x-a)/(x+a)))] =

    Text Solution

    |

  13. If sin^(-1) x + sin^(-1)y = pi/2 then dy/dx =

    Text Solution

    |

  14. d/dx (sin^(-1) sqrt((1-x)/2)) =

    Text Solution

    |

  15. d/dx cot^(-1) ((1+sqrt(1-x^(2)))/x) =

    Text Solution

    |

  16. If y = sin^(-1) ((2x)/(1+x^(2))) + sec^(-1) ((1+x^(2))/(1-x^(2))) then...

    Text Solution

    |

  17. If y = sin^(-1) (x^(2)/(sqrt(x^(4)+a^(4)))) then dy/dx =

    Text Solution

    |

  18. If y = sin^(-1) (2xsqrt(1-x^(2))) + sec^(-1) (1/sqrt(1-x^(2))) then dy...

    Text Solution

    |

  19. If y = sec^(-1) (1/(sqrt(1-x^(2)))) + sec^(1) (1/(1-2x^(2))) then dy/d...

    Text Solution

    |

  20. d/dx [tan^(-1)x + sin^(-1) (x/(sqrt(1+x^(2))))] =

    Text Solution

    |