Home
Class 12
MATHS
if f(x)=(x -4) (x-5) (x-6) (x-7) then....

if f(x)=(x -4) (x-5) (x-6) (x-7) then.

A

`f'(x)=0` has 4 roots

B

`f' (x)` has 3 zeroes in `(4,5) uu(5,6)uu(6,7)`

C

`f'(x)=0` has only one root

D

`f' (x)` has 3 zeroes in `(3,4) uu(4,5) uu(5,6)`

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

Let f(x)=(x-4)(x-5)(x-6)(x-7) then.(A) f'(x)=0 has four roots (B)Three roots of f'(x)=0 lie in (4,5)uu(5,6)uu(6,7) (C) The equation f'(x)=0 has only one real root (D) Three roots of f'(x)=0 lie in (3,4)uu(4,5)uu(5,6)

Let f(x)= (x-2) (x -3) (x-4) (x-5) (x-6) then

IF (x-5)^3+ (x-6)^3 +(x-7)^3=3 (x-5) (x-6) (x-7) then what is the value of x

If f(x)=3^(x)+4^(x)+5^(x)-6^(x), then f(x)

If f(x)=(x+1)/((x-2)(x-5)) , then in [4, 6]

(x-4)/(x-5)+(x-6)/(x-7)=(10)/(3)

Given f(x) is a cubic polynomial in x . If f(x) is divided by (x+3),(x+4),(x+5)and (x+6) , then it leaves the remainders 0, 0 , 4 and 6 respectively . Find the remainder when f(x) is divided by x+7 .

Find all the x-intercepts of f(x)=((x-3)^4(x-6)^4(x-4)(5x-8))/((2x-5)(x-3)(x-6)^2)

MARVEL PUBLICATION-APLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)
  1. if f(x)=(x -4) (x-5) (x-6) (x-7) then.

    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

    |