Home
Class 12
MATHS
Verify Lagrange's mean value theorem for...

Verify Lagrange's mean value theorem for the following functions in the given interval and also find 'c' of this theorem:
`f(x) = (x-1)(x-2)(x-3)`in[0,4]

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|788 Videos

  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos

  • DETERMINANTS

    PRADEEP PUBLICATION|Exercise EXERCISE|342 Videos

Similar Questions

Explore conceptually related problems

Verify Lagrange's mean value theorem for the following functions in the given interval and also find 'c' of this theorem: f(x) =( x)(x-1) (x-2) in [0,1/2]

Verify Lagrange's mean value theorem for the following functions in the given interval and also find 'c' of this theorem: f(x) = x(x-3) in [2,4]

Verify Lagrange's mean value theorem for the following functions in the given interval and also find 'c' of this theorem: f(x) = logx in [1,2]

Verify Lagrange's mean value theorem for the following functions in the given interval and also find 'c' of this theorem: f(x) = x^(2//3) in [0,1]

Verify Lagrange's mean value theorem for the following functions in the given interval and also find 'c' of this theorem: f(x) = 1/(4x-1) in [1,4]

Verify Lagrange's mean value theorem for the following functions in the given interval and also find 'c' of this theorem: f(x) = tan^-1 in [0,1]

Verify Lagrange's mean value theorem for the following functions in the given interval and also find 'c' of this theorem: f(x) = 2x - x^2 on [0,1]

Verify Lagrange's mean value theorem for the following functions in the given interval and also find 'c' of this theorem: f(x) = sqrt(x^2-4) in [2,4]

Verify Lagrange's mean value theorem for the following functions in the given interval and also find 'c' of this theorem: f(x) = sqrt(25-x^2) in[1,5]

Verify Lagrange's mean value theorem for the following functions in the given interval and also find 'c' of this theorem: f(x) = sinx - sin 2 x in [0,pi]

PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Verify Lagrange's mean value theorem for the following functions in th...

    Text Solution

    |

  2. Verify Lagrange's mean value theorem for the following functions in th...

    Text Solution

    |

  3. Verify Lagrange's mean value theorem for the following functions in th...

    Text Solution

    |

  4. Verify Lagrange's mean value theorem for the following functions in th...

    Text Solution

    |

  5. Verify Lagrange's mean value theorem for the following functions in th...

    Text Solution

    |

  6. Differentiate the function f(x) = sqrt(x-2)

    Text Solution

    |

  7. Verify Lagrange's mean value theorem for the following functions in th...

    Text Solution

    |

  8. Verify Lagrange's mean value theorem for the following functions in th...

    Text Solution

    |

  9. Verify Lagrange's mean value theorem for the following functions in th...

    Text Solution

    |

  10. Show that Lagrange's theorem is not applicable to the function f(x) = ...

    Text Solution

    |

  11. Discuss applicability of Lagrange's mean value theorem to the function...

    Text Solution

    |

  12. Verify the Lagrange's Mean Value Theorem for the functions: f(x) = |...

    Text Solution

    |

  13. Find a point on the curve y = x^2 where the tangent is parallel to the...

    Text Solution

    |

  14. Find a point on the curve y = x^3 where the tangent is parallel to the...

    Text Solution

    |

  15. Lagrange's Theorem to determine a point P on the curve f(x) = sqrt(x-2...

    Text Solution

    |

  16. Using Mean value Theorem, prove that there is a point on the curve y =...

    Text Solution

    |

  17. Using differentials find an approximate value of sqrt66

    Text Solution

    |

  18. Let f(x) = (log(1+x))/(sinx) for x ne 0. Find f(0) if f is continuous ...

    Text Solution

    |

  19. Let f(x) = (x+|x|)/x for x ne 0 and let f (0) = 0, Is f continuous at ...

    Text Solution

    |

  20. Let f(X) = sin x cos x. Write down the set of points of discontinuity ...

    Text Solution

    |