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

A function `y=f(x)` has a second order derivative `f"(x)=6(x-1)`. If its graph passes through the point `(2,1)` and at that 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)^(3)`

D

`(x+1)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APLICATIONS OF DERIVATIVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - I : CHAPTER 12)|19 Videos

  • APLICATIONS OF DERIVATIVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)|19 Videos

  • APPLICATIONS OF DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|11 Videos

Similar Questions

Explore conceptually related problems

A function y-f(x) has a second-order derivative f'(x)=6(x-1). It its graph passes through the point (2,1) and at that point tangent to the graph is y=3x-5 , then the value of f(0) is 1 (b) -1(c)2 (d) 0

The graph of y =x passes through the point

The anti - derivative of f(x) = e^(x//2) whose graph passes through the point (0,3) is :

Let F(x) be the anti derivative of f(x)=3cos x-2sin x whose graph passes through the the point ((pi)/(2),1) then F(0) is equal to=-

1.The slope of the normal at the point with abscissa x=-2 of the graph of the function f(x)=|x^(2)-x| is

Let F(x) be the antidericative of f(x) = 3 cos x - 2 sin x whose graph passes through the point (pi//2,1) Then F(pi//4) is equal to (sqrt(2) = 1.41)

If f (x) is the anti-derivative of tan^(-1) sqrt(x) such that the curve y = f(x) passes through the point (0,2) then f(x) =

MARVEL PUBLICATION-APLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)
  1. A function y=f(x) has a second order derivative f"(x)=6(x-1). If its g...

    Text Solution

    |

  2. If S=16+ 192 t-t^(3), then distance tavelled by the particle before co...

    Text Solution

    |

  3. The distances moved by a particle in time t seconds is given by s=t^(3...

    Text Solution

    |

  4. A stone thrown vertically upwards rises S ft in t seconds where S =11...

    Text Solution

    |

  5. If displacement x at time t is x=sqrt(1+t^(2)) , then acceleration is

    Text Solution

    |

  6. If the circumference of a circle at the rate of 0.2 cm //sec, then, wh...

    Text Solution

    |

  7. A stone is dropped into a quiet pond and waves spread in the form of c...

    Text Solution

    |

  8. Perimeter of square increases at the rate of 0.4 cm// sec. When the si...

    Text Solution

    |

  9. Each side of an equilateral triangle increases at a uniform rate of 0....

    Text Solution

    |

  10. If the surface area of a cube increases at the rate of 0.6cm^(2) //sec...

    Text Solution

    |

  11. If V denotes the volume and S is the surface area of a sphere. If radi...

    Text Solution

    |

  12. Water is poured into an inverted cone of semi-vertical angle 30^(@) at...

    Text Solution

    |

  13. A ladder 10 m long leans against a house. When its foot is 6 m from th...

    Text Solution

    |

  14. If y=(log x) - (2)/(x), x=(1)/(2), deltax =10 ^(-8), then delta y ~~…

    Text Solution

    |

  15. If 1^(@) =0.0174^(c), then tan (45^(@) 50')~~…

    Text Solution

    |

  16. If diameter of a sphere is 2 cm with error 0.082 mm, then approximate ...

    Text Solution

    |

  17. If a wire of length l, with error delta l, is bent into an equilatera...

    Text Solution

    |

  18. if radius of a sphere is r with error delta r , and S is its surface ...

    Text Solution

    |

  19. If 1^(@) =0.018^(c), then sin^(2) (45 ^(@) 2')~~…

    Text Solution

    |

  20. A point P moves along the curve y=x^(3). If its abscissa is increasing...

    Text Solution

    |