Home
Class 12
MATHS
If y=(1)/(1+x+x^(2)+x^(3)), then the val...

If `y=(1)/(1+x+x^(2)+x^(3))`, then the value of `(d^(2)y)/(dx^(2))` at `x=0` is -

A

0

B

1

C

-1

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 8|80 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 5|80 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 4|80 Videos
  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

If y=(x sin^(-1)x)/(sqrt(1-x^(2)))+logsqrt(1-x^(2)) , then the value of (d^(2)y)/(dx^(2)) at x=0 is -

If y=e^(m sin^(-1)x) , then the value of [(d^(2)y)/(dx^(2))]_(x=0) is -

If y=a^(x)b^(2x-1) , then the value of (d^(2)y)/(dx^(2)) is -

If y=(1+x)(1+x^(2))(1+x^(4))…(1+x^(2n)) then the value of ((dy)/(dx)) at x = 0 is

If y=1/(1+x+x^2+x^3) , then value of (d^2y)/(dx^2) at x=0 is

If y=(1+x)(1+x^(2))(1+x^(4))…..(1+x^(2n)) then the value of ((dy)/(dx)) at x = 0 is

If 2^(x)+2^(y)=2^(x+y) , then the value of (dy)/(dx) at x=y=1 is -

If x sqrt(1-y^(2))+y sqrt(1-x^(2))=k , then the value of (dy)/(dx) at x=0 is -

If y=f(x^(2)) and f'(x)=sqrt(3x^(2)+1) then the value of (dy)/(dx) at x=2 is -

If y=(1)/(3x-1) , then the value of [(dy)/(dx)]_(x=0) is -

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 6
  1. Let f(x)=4x^(3)+x^(2)-4x-1. The equation f(x)=0 has roots 1 and (-(1)/...

    Text Solution

    |

  2. At x=0 the function f(x)=x^3+1 has -

    Text Solution

    |

  3. If y=(1)/(1+x+x^(2)+x^(3)), then the value of (d^(2)y)/(dx^(2)) at x=...

    Text Solution

    |

  4. If y=sinx log("tan"(x)/(2)) then the value of (d^(2)y)/(dx^(2))+y is -

    Text Solution

    |

  5. If t is a parameter and x=t^(2)+2t, y=t^(3)-3t, then the value of (d...

    Text Solution

    |

  6. (d)/(dx)[sin^(2)cot^(-1)( sqrt((1-x)/(1+x)))] is equal to -

    Text Solution

    |

  7. If x=sin^(-1)(3t-4t^3) and y=cos^(-1) sqrt(1-t^2) then (dy)/(dx)=

    Text Solution

    |

  8. The derivative of sin^(2)x w.r.t. cos^(2)x is -

    Text Solution

    |

  9. If y="cosec"^(-1)((x+1)/(x-1))+cos^(-1)((x-1)/(x+1)), then (dy)/(dx...

    Text Solution

    |

  10. If y=tan^(-1)((sqrt(1+x^(2))-1)/(x)) and z=tan^(-1)((2x)/(1-x^(2))), ...

    Text Solution

    |

  11. If f(x)=(1)/(1-x), then the derivative of the composite function f[f{f...

    Text Solution

    |

  12. The value of [sum(n=1)^(10)int(-2n-1)^(-2n)sin^(27)x dx+sum(n=1)^(10)i...

    Text Solution

    |

  13. The value of the integral int x^(3)log x dx is equal to -

    Text Solution

    |

  14. The value of int(-(1)/(2))^((1)/(2)){[x]+log((1+x)/(1-x))}dx is equal...

    Text Solution

    |

  15. If I(n)=int (logx)^(n)dx, then the value of (I(n)+nI(n-1)) is -

    Text Solution

    |

  16. The value of int(0)^(oo) (x dx)/((1+x)(1+x^(2))) is equal to -

    Text Solution

    |

  17. The value of int (e^(x)dx)/((e^(x)+2)(e^(x)+1)) is equal to -

    Text Solution

    |

  18. The value of int(dx)/(cosx-sinx) is equal to -

    Text Solution

    |

  19. The value of int(0)^((pi)/(2)) ((sinx+cosx)^(2))/(sqrt(1+sin2x))dx is ...

    Text Solution

    |

  20. If int(0)^(pi) x f(sinx) dx=A int(0)^((pi)/(2))f(sinx)dx, then the va...

    Text Solution

    |