Home
Class 11
MATHS
The value of c in Rolle's theorem when f...

The value of c in Rolle's theorem when `f(x)=2x^(3)-5x^(2)-4x+3, x in [1//2,3]` is

A

2

B

`-1//3`

C

`-2`

D

`2//3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MEAN VALUE THEOREMS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|4 Videos

  • MATRICES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • PAIR OF STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|18 Videos

Similar Questions

Explore conceptually related problems

The value of c in Rolle's theorem for the function f(x) = x^(3) - 3x in the interval [0,sqrt(3)] is

The value of c in Rolle's theorem for the function f(x) = x^(3) - 3x in the interval [0,sqrt(3)] is

Find the value of c in Rolle’s theorem for the function f(x) = x^3– 3x in [–sqrt3, 0] .

n is a positive integer. If the value of c presecribed in Rolle's theorem for the function f(x)=2x(x-3)^(n) on the interaval [0,3] is 3/4, then the value of n, is

The value of c in Rolle's theorem for the function f (x) =(x(x+1))/e^x defined on [-1,0] is

The value of c in the Lagrange's mean value theorem for the function f(x)=x^(3)-4x^(2)+8x+11 , when x in [0, 1] is :

Verify Rolle's theorem for the function f(x)=x^2+2x-8, x in [-4,2] .

Find the value of c so that in Langrange's mean value theorem is verified for the function f(x) = x^(3) - 5x^(2) - 3x in [1,3]

Verify Rolle's theorem for the function f(x)=\ x^2-5x+6 on [2, 3].

Verify Rolles theorem for function f(x)=x^2-4x+3 on [1,\ 3]

OBJECTIVE RD SHARMA ENGLISH-MEAN VALUE THEOREMS-Exercise
  1. Let fa n dg be differentiable on [0,1] such that f(0)=2,g(0),f(1)=6a n...

    Text Solution

    |

  2. If the equation a(n)x^(n)+a(n-1)x^(n-1)+..+a(1)x=0, a(1)!=0, n ge2, ha...

    Text Solution

    |

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

    Text Solution

    |

  4. If f(x) and g(x) ar edifferentiable function for 0lex le1 such that f(...

    Text Solution

    |

  5. If alpha beta( alpha lt beta) are two distinct roots of the equation. ...

    Text Solution

    |

  6. If (x) is a function given by f(x) = |{:(sinx , sin a, sin b),(cosx,c...

    Text Solution

    |

  7. The value of c in Lagrange's theorem for the functin f(x)=log sin x in...

    Text Solution

    |

  8. n is a positive integer. If the value of c presecribed in Rolle's th...

    Text Solution

    |

  9. The distance travelled by a particle upto tiem x is given by f(x)=x^(...

    Text Solution

    |

  10. The number of real roots of the equation e^(x-1)+x-2=0 is 1 (b) 2 (...

    Text Solution

    |

  11. If the polynomial equation an x^n + a(n-1) x^(n-1) + a(n-2) x^(n-2) + ...

    Text Solution

    |

  12. If 4a+2b+c=0 , then the equation 3ax^(2)+2bx+c=0 has at least one rea...

    Text Solution

    |

  13. For the function f(x) = x + 1/x, x in [1,3] , the value of c for me...

    Text Solution

    |

  14. If from Largrange's mean value theorem, we have f'(x(1))=(f'(b)-f(a))...

    Text Solution

    |

  15. Rolle's theorem is applicable in case of phi(x) = a^sin x,a>0 in

    Text Solution

    |

  16. The value of c in Rolle's theorem when f(x)=2x^(3)-5x^(2)-4x+3, x in [...

    Text Solution

    |

  17. When the tangent the curve y=x log (x) is parallel to the chord joinin...

    Text Solution

    |

  18. The value of c in Rolle's theorem for the function f (x) =(x(x+1))/e^x...

    Text Solution

    |

  19. The value of c in Lgrange's Mean Value theorem for the function f(x)...

    Text Solution

    |

  20. In Rolle's theorem the value of c for the function f(x)=x^(3)-3x in th...

    Text Solution

    |