Home
Class 12
MATHS
A function y = f(x) has a second order d...

A function y = f(x) has a second order derivative `f''(x) =6(x-1)`. If its graph passes thro' the point (2, 1) and at the point the tangent to the graph is `y=3x-5`, then the function is :

A

`(x+1)^(2)`

B

`(x-1)^(3)`

C

`(x+1)^(2)`

D

`(x-1)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos
  • DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|390 Videos

Similar Questions

Explore conceptually related problems

The equation of the tangent to the parabola y=x^(2)-x at the point x=1, is

Find the second order derivatives of the function tan^(-1) x .

The curve passing through the point (1, 2) given that the slope of the tangent at any point (x,y) is (2x)/(y) represents

Find the second order derivatives of the function e^(x) sin 5x .

Find the second order derivatives of the function x^(3) log x .

Find the point at which the tangent to the curve y= sqrt( 4x -3)-1 has its slope 2/3

The equation of the tangent to the curve y = x^(3)-2x+1 at the point (1,6) is

The point at which the tangent to the curve y= 2x^(2) -x+1 is parallel to y= 3x + 9 is

Find the point at which the tangent to the curve y = sqrt(4x - 3) - 1 has its slope 2/3 .

Find the second order derivatives of the function e^(6x) cos 3x .

HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. The solution of the differential equation : (1+y^2)+(x-e^(tan^(-1)y...

    Text Solution

    |

  2. The differential equation of all circles which pass through origin and...

    Text Solution

    |

  3. A function y = f(x) has a second order derivative f''(x) =6(x-1). If i...

    Text Solution

    |

  4. If x(dy)/(dx)=y(logy-logx+1), then the solution of the equation is :

    Text Solution

    |

  5. The differential equation whose solution is Ax^2+By^2=1, where A and B...

    Text Solution

    |

  6. The differential equation of family of circles with fixed radius 5 uni...

    Text Solution

    |

  7. The differential equation which represents the family of curves y=c1e^...

    Text Solution

    |

  8. Solution of the differential equation cos x dy = y (sin x - y) dx 0 lt...

    Text Solution

    |

  9. The general solution of y^(2)dx + (x^(2)-xy +y^(2)) dy = 0 is

    Text Solution

    |

  10. The differential equation of the family of parabola with focus at the ...

    Text Solution

    |

  11. Integrating factor of the differential equation cos x dy/dx + y sin x ...

    Text Solution

    |

  12. The differential equation dy/dx+Py = Qy^(n), n gt 2 can be reduced to ...

    Text Solution

    |

  13. The function f (theta) = d/d theta int0^(theta) dx/(1-cos theta cosx) ...

    Text Solution

    |

  14. The solution of the differential equation (1+x^(2)) dy.dx +1 + y^(2) =...

    Text Solution

    |

  15. The differential equation of all parabolas whose axes are parallel to ...

    Text Solution

    |

  16. The solution of the differential equation dy/dx +1 = e^(x+y) is

    Text Solution

    |

  17. Which of the following functions is a solution of the differential equ...

    Text Solution

    |

  18. The general solution of dy/dx + sqrt((1-y^(2))/(1-x^(2))) = 0 is

    Text Solution

    |

  19. The solution of cos(x+y)dy = dx is

    Text Solution

    |

  20. The integrating factor of the differential equation : (dy)/(dx)(xlo...

    Text Solution

    |