Home
Class 12
MATHS
Examine the applicability of Mean Value ...

Examine the applicability of Mean Value Theorem for all three functions given in the above exercise 2. (i) f(x) = [x] for x ∈ [5,9] (ii) f(x) = [x] for x ∈ [-2,2] (iii) f(x) = [xsqrt -1] for x ∈ [1,2]

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

Disuss the applicability of Lagrange's Mean Value Theorem to f(x) = cos x in [0,pi/2]

Examine the applicability of Rolle's Theorem fr the fraction: f(x) = 2+(x-1)^(2//3) in the interval 0 le x le2

Discuss the appllicability of Rolle's theorem for the function f(x) = x^2 - 1 for x in (1,2) .

The value of 'c' in mean Value Theorem for the function f(x) =x(x-2) in [1,2] is

Examine the applicability of L.M.V. theorem in the interval [1, 4] of the function, f(x) = x^2 - 4x - 3.

Verify the Lagrange's Mean Value Theorem for the functions: f(x) = log_(e) x in the interval [1,2]

Discuss the applicability of Lagrange's Mean Value Theorem to f(x) = 2x-x^2 in [0,1]

Verify the Lagrange's Mean Value Theorem for the functions: f(x) = 1/x in the interval [-1.2]

Discuss the applicability of Rolle's Theorem for the function f(x) = (x-1)^(2//5) in the interval [0,3]

Discuss the applicability of Lagrange's Mean Value Theorem to f(x) = x^2 on [2,4]

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Examine the applicability of Mean Value Theorem for all three function...

    Text Solution

    |

  2. If f(x)= {(kx^2,,x,<,2),(3,,x,ge,2):} is continuous at x = 2, then the...

    Text Solution

    |

  3. Check the continuity of the function f given by f(x) = 2x+3 at x=1

    Text Solution

    |

  4. Check the continuity of the following functions: f(x) = x^2atx=0

    Text Solution

    |

  5. Examine the continuity of the function f(x) = 2x^2 - 1 at x=3

    Text Solution

    |

  6. Examine the function f(x) = 2x^2-5 for its continuity at the point x =...

    Text Solution

    |

  7. Is the function defined by f(x) = |x|, a continuous function?

    Text Solution

    |

  8. Find the point at which the function f(x) = [x] is not continuous in (...

    Text Solution

    |

  9. Examine the following function for continuity: f(x) = x-5

    Text Solution

    |

  10. Examine the following functions for continuity: f(x) = x^3 + x^2-1

    Text Solution

    |

  11. Examine the following function for continuity: f(x) = 1/(x-5), x ne 5

    Text Solution

    |

  12. Examine the following function for continuity: f(x) = (x^2 -25)/(x+5),...

    Text Solution

    |

  13. Examine the following function for continuity: f(x) = |x-5|

    Text Solution

    |

  14. Prove that the following functions are continuous at all points of the...

    Text Solution

    |

  15. Prove that the following functions are continuous at all points of the...

    Text Solution

    |

  16. Prove that the following functions are continuous at all points of the...

    Text Solution

    |

  17. Discuss the continuity of the following function: f(x) = sinx + cosx

    Text Solution

    |

  18. Discuss the continuity of the following function: f(x) = sinx cdot cos...

    Text Solution

    |

  19. Discuss the continuity of the following function: f(x) = sinx cdot cos...

    Text Solution

    |

  20. Discuss the continuity of the following functions: f(x) = (sinx)/(co...

    Text Solution

    |

  21. Prove that f(x) = |sin x| is continous at all point of its domnin.

    Text Solution

    |