Home
Class 12
MATHS
IF y=x/(x^2-x-2), find the value of y2 a...

IF `y=x/(x^2-x-2)`, find the value of `y_2` at x=1.

Text Solution

Verified by Experts

The correct Answer is:
`-5/4`
Promotional Banner

Topper's Solved these Questions

  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Long answer type Question|22 Videos

  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Multiple correct answer type)|5 Videos

  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Very Answer type Question|23 Videos

  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams E (Assertion - Reason Type )|2 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion-Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

IF y=e^(msin^-1x) , find the value of (y_2)_0 .

If tan^-1(1/y)=-pi+cot^-1 y, where y=x^2-3x+2, then find the value of x

If (3x + 2y, 12) = (5, 2x-3y), find the value of x and y.

If (x+1, y-2)=(3,1), find the values of x and y.

Find the value of the x^2+y^2 , when x=2, y=-1

Find the value of (2x+3y)+(3x+y).

Find the value of the 2x+7y, when x=2, y=-1

If (x+y,y-2) = (3,1), find the values of x and y.

If x^(2)+y^(2)-6x-8y=-25 , then find the values of x and y.

If x and y are real numbers and (x-5)^(2)+(x-y)^(2)=0 , then find the value of x and y.

CHHAYA PUBLICATION-SECOND ORDER DERIVATIVE-Short Answer type Question
  1. Find y2 in each of the following cases: y=t^2+t^3,x=t-t^4

    Text Solution

    |

  2. IF y^3=x^2+y^2, find (d^2y)/(dx^2) at y=1.

    Text Solution

    |

  3. IF y=x/(x^2-x-2), find the value of y2 at x=1.

    Text Solution

    |

  4. IF y=xsinx, prove that, x^2(d^2y)/(dx^2)-2xdy/dx+(2+x^2)y=0

    Text Solution

    |

  5. If y=ae^(mx)+bcosmx, prove that, (d^2y)/(dx^2)+m^2y=2am^2e^(mx)

    Text Solution

    |

  6. IF y=e^(-x)(cosx+sinx), show that ,y2+2y1+2y=0.

    Text Solution

    |

  7. If y=e^x(sinx+cosx), then prove that, (d^2y)/(dx^2)-2dy/dx+2y=0

    Text Solution

    |

  8. If y=x^3log""1/x, Prove that , xy2-2y1+3x^2=0.

    Text Solution

    |

  9. If y=log(x+sqrt(x^2+a^2)), show that (a^2+x^2)y2+xy1=0

    Text Solution

    |

  10. If y=[log(x+sqrt(x^2+1))]^2, show that, (1+x^2)(d^2y)/(dx^2)+xdy/dx=...

    Text Solution

    |

  11. IF y=secx+tanx, show that , y2-yy1=0.

    Text Solution

    |

  12. If y=3cos(logx)+4sin(logx), Prove that x^2y2+xy1+y=0

    Text Solution

    |

  13. IF y=xsin(logx)+xlogx, Prove that, x^2(d^2y)/(dx^2)-xdy/dx+2y=2xlogx

    Text Solution

    |

  14. IF y=x^2cosx, prove that ,x^2y2-4xy1+(x^2+6)y=0.

    Text Solution

    |

  15. If cosx=ycos(a+x), prove that, (d^2y)/(dx^2)=2sinasec^2(a+x)tan(a+x)

    Text Solution

    |

  16. If y=sin(logx), prove that , x^2y2+xy1+y=0.

    Text Solution

    |

  17. If logy=sin^-1x, show that, (1-x^2)(d^2y)/(dx^2)=xdy/dx+y.

    Text Solution

    |

  18. IF y=cos(cos x), show that, y2-y1cotx+ysin^2x=0.

    Text Solution

    |

  19. If y=sin^-1x, show that, (1-x^2)y2-xy1=0.

    Text Solution

    |

  20. If y=(sin^(-1) x)/(sqrt(1-x^2)), then show that (1-x^2)(d^2y)/(dx^2)-3...

    Text Solution

    |