Home
Class 12
MATHS
Examine if Rolle's theorem is applicable...

Examine if Rolle's theorem is applicable to any of the following functions.
`f(x)= [x], x in [-2, 2]`

Text Solution

Verified by Experts

The correct Answer is:
f(x)= [x]
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Miscellaneous Exercise - 5|46 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Textbook based MCQs|100 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Exercise-5.7|34 Videos

  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - C)|4 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

Examine if Rolle's theorem is applicable to any of the following functions. f(x)= [x], x in [5,9]

Examine if Rolle's theorem is applicable to any of the following functions. Can you say some thing about the converse of Rolle's theorem from these example? f(x) = x^(2)-1 " for "x in [1, 2] .

Draw the graph of the following function. 2f(x)

Draw the graph of the following function. f(2x)

Draw the graph of the following function. f((x)/(2))

Rolle's theorem is applicable for the function f(x) = |x-1| "in " x in [0, 2]

Examine the applicability of Mean Value Theorem for all three functions f(x)= [x], x in [-2, 2]

Vertify mean value theorem for the following functions: f(x)= log_(e)x, x in [1, 2]

KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Exercise-5.8
  1. Verify Rolle's theorem for the function f(x)= x^(2) + 2x-8, x in [-4, ...

    Text Solution

    |

  2. Examine if Rolle's theorem is applicable to any of the following funct...

    Text Solution

    |

  3. Examine if Rolle's theorem is applicable to any of the following funct...

    Text Solution

    |

  4. Examine if Rolle's theorem is applicable to any of the following funct...

    Text Solution

    |

  5. If f: [-5, 5] rarr R is a differentiable function and if f'(x) does no...

    Text Solution

    |

  6. Verify Mean Value Theorem, if f(x)= x^(2)-4x-3 in the interval [a, b] ...

    Text Solution

    |

  7. Verify Mean Value Theorem, if f(x)= x^(3)-5x^(2)-3x in the interval [a...

    Text Solution

    |

  8. Examine the applicability of Mean Value Theorem for all three function...

    Text Solution

    |

  9. Examine the applicability of Mean Value Theorem for all three function...

    Text Solution

    |

  10. Examine the applicability of Mean Value Theorem for all three function...

    Text Solution

    |

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

    Text Solution

    |

  12. Examine if Rolle's theorem is applicable to any of the following funct...

    Text Solution

    |

  13. Examine if Rolle's theorem is applicable to any of the following funct...

    Text Solution

    |

  14. Examine if Rolle's theorem is applicable to any of the following funct...

    Text Solution

    |

  15. If f: [-5, 5] rarr R is a differentiable function and if f'(x) does no...

    Text Solution

    |

  16. Verify Mean Value Theorem, if f(x)= x^(2)-4x-3 in the interval [a, b] ...

    Text Solution

    |

  17. Verify Mean Value Theorem, if f(x)= x^(3)-5x^(2)-3x in the interval [a...

    Text Solution

    |

  18. Examine the applicability of Mean Value Theorem for all three function...

    Text Solution

    |

  19. Examine the applicability of Mean Value Theorem for all three function...

    Text Solution

    |

  20. Examine the applicability of Mean Value Theorem for all three function...

    Text Solution

    |