Home
Class 12
MATHS
Ify = tan^(-1) ((sqrt(1+x^(2)) -sqrt(1-x...

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

A

`x/(sqrt(1+x^(4)))`

B

`x/(sqrt(1-x^(4)))`

C

`x^(2)/(sqrt(1-x^(4)))`

D

`x^(2)/(sqrt(1+x^(4)))`

Text Solution

Verified by Experts

The correct Answer is:
B
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 x = y sqrt(1-y^(2)) , then dy/dx =

If x = sqrt((1-t^(2))/(1+t^(2)) and y = (sqrt(1+t^(2))-sqrt(1-t^(2)))/(sqrt(1+t^(2)) + sqrt(1-t^(2))) then (d^(2)y)/(dx^(2)) =

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

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

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

HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
  1. y = tan^(-1) (sec x - tan x), then dy/dx =

    Text Solution

    |

  2. If y = (e^(x)+e^(-x))/(e^(x)-e^(-x))then is equal to...

    Text Solution

    |

  3. Ify = tan^(-1) ((sqrt(1+x^(2)) -sqrt(1-x^(2)))/(sqrt(1+x^(2)) + sqrt(1...

    Text Solution

    |

  4. If f (x) and g (x) are two functions with g(x)=x-(1)/(x) and fog (x)=x...

    Text Solution

    |

  5. The derivative of a^(sec x) w.r.t. a^(tan x)(a gt 0) is

    Text Solution

    |

  6. If sec^(-1)((1+x)/(1+ y)) = a, then (dy)/(dx) is

    Text Solution

    |

  7. If y = sin^(3^(-x)) then dy/dx =

    Text Solution

    |

  8. alpha+beta are the zeroes of the polynomial x^(2)-6x+4, then the value...

    Text Solution

    |

  9. The derivative of cos^(-1)((1-x^(2))/(1+x^(2))) w.r.t. cot^(-1)((1-3x^...

    Text Solution

    |

  10. y = tan^(-1) (sec x - tan x), then dy/dx =

    Text Solution

    |

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

    Text Solution

    |

  12. If x^(y) = log x, then dy/dx at the point where the curve cut the x-ax...

    Text Solution

    |

  13. If y = a^(x), then (d^(2)y)/(dx^(2)) =

    Text Solution

    |

  14. If x^(2)+xy+y^(2)=0, (d^(2)y)/(dx^(2))=

    Text Solution

    |

  15. If x = at^(2), y = 2at, then (d^(2)y)/(dx^(2)) =

    Text Solution

    |

  16. If y = ax^(n+1) + bx^(-1), then x^(2) (d^(2)y)/(dx^(2)) =

    Text Solution

    |

  17. If x = a (cos theta + theta sin theta), y = a(sin theta - theta cos th...

    Text Solution

    |

  18. If y = tan^(-1) sqrt((1-cos x)/(1+cosx)), then(d^(2)y)/(dx^(2)) = =

    Text Solution

    |

  19. If 2x^(2)+4xy+3y^(2) = 0, then (d^(2)y)/(dx^(2)) =

    Text Solution

    |

  20. If y = 1 -x + x^(2)/(2!) - x^(3)/(3!) +x^(4)/(4!) - ………….. then (d^(2)...

    Text Solution

    |