Home
Class 12
MATHS
Verify the truth of Rolle's Theorem for ...

Verify the truth of Rolle's Theorem for the following function:
`f(x) = (x-2)(x-3)(x-4)` in the interval `2 le x le4`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE|588 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise EXERCISE|326 Videos

Similar Questions

Explore conceptually related problems

Verify the truth of Rolle's Theorem for the following function: f(x) = x^2 - x - 12 in the interval [-3,4]

Verify the truth of Rolle's Theorem for the following functions: f(x) = (x(x-2))/(x-1) on [0,2]

Verify the truth of Rolle's Theorem for the following function: f(x) = x^3-4x in the interval -2le xle 2

Verify the truth of Rolle's Theorem for the following function: f(x) = x(x-1)^2 in the interval [0,1]

Verify the truth of Rolle's Theorem for the following function: f(x) = 4x^2-12 x + 9 in the interval 0 le x le3

Verify the truth of Rolle's Theorem for the following functions: f(x) = sqrt(x-2) in [1,2]

Verify the truth of Rolle's Theorem for the following functions: f(x) = x^(2) in [-1,1]

Verify the truth of Rolle's Theorem for the following functions: f(x) = |x| in [-1,1]

Verify the truth of Rolle's Theorem for the following functions: f(X) = [x]in [-1,1]

Verify Rolle's theorem for the following functions f(x)=(x-2)(x-4)^2 in the interval [2, 4]

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Verify the Rolle's Theorem for the following function: f(x) = x^2 + ...

    Text Solution

    |

  2. Verify the truth of Rolle's Theorem for the following function: f(x)...

    Text Solution

    |

  3. Verify the truth of Rolle's Theorem for the following function: f(x)...

    Text Solution

    |

  4. Verify the truth of Rolle's Theorem for the following function: f(x)...

    Text Solution

    |

  5. Verify the truth of Rolle's Theorem for the following function: f(x)...

    Text Solution

    |

  6. Verify Rolle's theorem for the following functions f(x)=(x-2)(x-4)^2...

    Text Solution

    |

  7. Verify Rolle's Theorem in the interval [a,b] for the fraction: f(x) = ...

    Text Solution

    |

  8. Examine the applicability of Rolle's Theorem fr the fraction: f(x) =...

    Text Solution

    |

  9. Verify Rolle's Theorem for the function: f(x) = sin^2x, defined in t...

    Text Solution

    |

  10. Verify Rolle's Theorem for the function: f(x) = cosx, defined in the...

    Text Solution

    |

  11. Verify Rolle's Theorem for the function: f(x) = tanx, define in the ...

    Text Solution

    |

  12. Verify Rolle's Theorem for the function: f(x) = sin x+cos x in [0,pi...

    Text Solution

    |

  13. Verify Rolle's Theorem for the function: f(x) = sin x + cos x -1 in ...

    Text Solution

    |

  14. Verify Rolle's Theorem for the function: f(x) = sin x+cos x in [0,pi...

    Text Solution

    |

  15. Verify Rolle's Theorem for the function: f(x) = sin^4 x + cos^4 x i...

    Text Solution

    |

  16. Find the value of f(x) when x=5: f(x) = -4x+5

    Text Solution

    |

  17. At what points on the following curve, is the tangent parallel to x-ax...

    Text Solution

    |

  18. At what points on the following curve, is the tangent parallel to x-ax...

    Text Solution

    |

  19. For the function f(x) = x^3 - 6x^2 + ax + b, it is given that f(1) = f...

    Text Solution

    |

  20. Let f(x) = (x-1)(x-2)(x-3) on the interval [1,3]. Prove that there is ...

    Text Solution

    |