Home
Class 12
MATHS
Rolle's theorem hold for the function f(...

Rolle's theorem hold for the function `f(x)=x^(3)+bx^(2)+cx,1 le x le2` at the point 4/3, the values of b and c are

A

b=8,c=-5

B

b=-5,c=8

C

b=5,c=-8

D

b=-5,c=-8

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos
  • CONIC SECTIONS

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos
  • DETERMINANTS

    DISHA PUBLICATION|Exercise EXERCISE -2 CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

It is given that the Rolles theorem holds for the function f(x)=x^(3)+bx^(2)+cx,x in[1,2] at the point x=(4)/(3). Find the values of b and c

It is given that the Rolles theorem holds for the function f(x)=x^3+b x^2+c x ,\ \ x in [1,2] at the point x=4/3 . Find the values of b and c .

Verify Rolle's theorem for the function f(x) = 2x^(3) + x^(2) - 4x -2 .

If Rolle's theorem holds for the function f(x) =x^(3) + bx^(2) +ax -6 for x in [1,3] , then a+4b=

If Rolle's theorem holds for the function f(x)=ax^(3)+bx^(2)+5x+1, x in [1, 2] with c=(3)/(2) , find the values of a and b.

If Rolle's theoram holds for the function f(x) 2x^(3)+bx^(2)+cx , xepsilon[-1,1],"at the point x" = 1/2 ,then 2b + c equals :

If Rolle's theorem holds for the function f(x)=2x^(3)+bx^(2)+cx On the interval [-1,1] at the point K=(1)/(2) then the value of 9b-(c)/(47)= ............

Verify Rolle's theorem for the function f(x)=x^(3)-3x^(2)+2x in the interval [0,2] .

Verify Rolle's theorem the function f(x) = x^(3)-4x on [-2,2]

DISHA PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-Exercise-1 : Concept Builder(Topicwise)
  1. Let y=x^3-8x+7a n dx=f(t)dot If (dy)/(dt)=2 and x=3 at t=0, then (dx)/...

    Text Solution

    |

  2. If x^y = e^(x-y) " then " dy/dx ?

    Text Solution

    |

  3. "If "y= sin x +e^(x)," then "(d^(2)x)/(dy^(2))=

    Text Solution

    |

  4. If f(x) =|log(e)|x||, then f'(x) equals

    Text Solution

    |

  5. If f(x)=x^4tan(x^3)-x1n(1+x^2), then the value of (d^4(f(x)))/(dx^4) ...

    Text Solution

    |

  6. let y=t^(10)+1, and x=t^8+1, then (d^2y)/(dx^2) is

    Text Solution

    |

  7. If x = exp {tan^(-1)((y-x^2)/(x^2))} then dy/dx equals

    Text Solution

    |

  8. If y = log^nx, where log^n means log log log… (repeated n time), the...

    Text Solution

    |

  9. If x=e^(y+e^(y^(+..."to"00))),xgt0,"then"(dy)/(dx)

    Text Solution

    |

  10. d/(dx)[log{e^x((x-2)/(x+2))^(3//4)}] equals (x^2-1)/(x^2-4) (b) 1 (c) ...

    Text Solution

    |

  11. If : y=(1)/(x)," then: "(dy)/(sqrt(1+y^(4)))+(dx)/(sqrt(1+x^(4)))=

    Text Solution

    |

  12. If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+ . . .oo))), then (dy)/(dx) is equa...

    Text Solution

    |

  13. The equation x log x = 3-x has, in the interval (1,3) :

    Text Solution

    |

  14. In [0,1] Lagranges Mean Value theorem in NOT applicable to f(x)={1/2-x...

    Text Solution

    |

  15. Rolle's theorem hold for the function f(x)=x^(3)+bx^(2)+cx,1 le x le2 ...

    Text Solution

    |

  16. The value of x in the interval [4,9] at which the function f(x) = sqrt...

    Text Solution

    |

  17. The value of c in (0,2) satisfying the Mean Value theorem for the func...

    Text Solution

    |

  18. If f(x)> x ;AA x in R. Then the equation f(f(x))-x=0, has

    Text Solution

    |

  19. If f(x) = x^(a) log x and f(0) = 0 then the value of alpha for which ...

    Text Solution

    |

  20. If f(x) satisfies the requirements of Lagrange's mean value theorem on...

    Text Solution

    |