Home
Class 12
MATHS
If x = sqrt((1-t^(2))/(1+t^(2)) and y =...

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)) = `

A

`(1)/((1+x)^3)`

B

`(4)/((1+x)^3)`

C

`(-1)/((1+x)^3)`

D

`(-4)/((1+x)^3)`

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

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

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

int_(1/2)^(1/sqrt2) (dx)/(x^(2)sqrt(1-x^(2))) =

y=sqrt(1+x^(2)) and y'=(xy)/(1+x^(2))

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

If x = 2/t^(2), y = t^(3)-1, (d^(2)y)/(dx^(2) ) =

HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
  1. If y = (3x+5)e^(-2x), then y satisfies

    Text Solution

    |

  2. If y = Ae^(-4x) + Be^(4x), then y satisfies

    Text Solution

    |

  3. If x = sqrt((1-t^(2))/(1+t^(2)) and y = (sqrt(1+t^(2))-sqrt(1-t^(2)))...

    Text Solution

    |

  4. If y = x+e^(x), then (d^(2)y)/(dx^(2)) is equal to

    Text Solution

    |

  5. If S(n) denotes the sum of n terms of a G.P., whose common ratio is r,...

    Text Solution

    |

  6. y = 1/(1+x^(beta-alpha)+x^(gamma-alpha))+ 1/(1+x^(alpha-beta)+x^(gamma...

    Text Solution

    |

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

    Text Solution

    |

  8. If f(x) = x sin x, then f^(')(pi/2) is equal to

    Text Solution

    |

  9. Let f(x) = x-[x], x in R then f^(')(1/2) is

    Text Solution

    |

  10. If y = sqrtx + 1/x then dy/dx at x = 1 is

    Text Solution

    |

  11. If f(x) = (x-1)(x-2)(x-3), then f^(')(0) =

    Text Solution

    |

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

    Text Solution

    |

  13. If y = ((sin x + cos x)/(sin x - cos x)) then dy/dx at x = 0 is

    Text Solution

    |

  14. If y=("sin(x+9))/(cosx), then (dy)/(dx) at x=0 is :

    Text Solution

    |

  15. If f(x) = 1+x + x^(2)/2 + …. + x^(100)/100, then f^(')(1) is equal to

    Text Solution

    |

  16. If f(x)=(x^(n)-a^(n))/(x-a) for some constant 'a', then f'(a) is :

    Text Solution

    |

  17. If f(x) = x^(100) + x^(99) + ….+x + 1, then f^(')(1) is equal to

    Text Solution

    |

  18. If f(x) = 1-x + x^(2) - x^(3) + …. - x^(99) + x^(100), then f^(')(1) i...

    Text Solution

    |

  19. Differential coefficient of sec(tan^(-1) x) is

    Text Solution

    |

  20. If u=sin^(-1)((2x)/(1+x^(2))) and v=tan^(-1)((2x)/(1-x^(2))), then (du...

    Text Solution

    |