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

Verify Lagrange's mean value theorem for the following functions: `f(x) = x + (1/x)` on the interval `(1,3)`

Promotional Banner

Topper's Solved these Questions

  • Applications of Derivatives

    CHETANA PUBLICATION|Exercise Exercise|144 Videos
  • APPLICATION OF DEFINITE INTEGRATION

    CHETANA PUBLICATION|Exercise EXERCISE|80 Videos
  • BINOMIAL DISTRIBUTION

    CHETANA PUBLICATION|Exercise EXERCISE|108 Videos

Similar Questions

Explore conceptually related problems

Verify Lagrange's mean value theorem for the following functions: f(x) = sqrt (x+4) on the interval (0,5)

Verify Lagrange's mean value theorem for the following functions: f(x) = log x on [1,e]

Verify Lagrange's mean value theorem for the following functions: f(x) = 2x - x^2 , x in [0,1]

Verify Lagrange's mean value theorem for the following functions: f(x) = (x-1)(x-2)(x-3) on [0,4]

CHETANA PUBLICATION-Applications of Derivatives-Exercise
  1. Given an interval (a, b) that satisfies hypothesis of Rolle's theorem ...

    Text Solution

    |

  2. Verify Lagrange's mean value theorem for the following functions: f(x)...

    Text Solution

    |

  3. Verify Lagrange's mean value theorem for the following functions: f(x)...

    Text Solution

    |

  4. Show that the function f(x) = x^3 +10 x +7 for all x in R is strictly ...

    Text Solution

    |

  5. Test weather the function f(x)= x^3 + 6 x^2 +12x-5 is increasing or de...

    Text Solution

    |

  6. Find the values of x, for using the function f(x)= x^3 +12 x^2 +36x...

    Text Solution

    |

  7. Find the values of x, for using the function f(x)= x^3 +12 x^2+36x+...

    Text Solution

    |

  8. Find the local maxima local minima of the function f(x) = x^3 -3x.

    Text Solution

    |

  9. Find the local maxima local minima of the function f(x) = x^3 -3x^2 - ...

    Text Solution

    |

  10. A wire of length 120 cm is bent in the form of rectangle. Find its dim...

    Text Solution

    |

  11. A rectangular sheet of paper has area 24 sq. meters. The margin at t...

    Text Solution

    |

  12. An open box is to be cut of piece of square card board of side 18 cm ...

    Text Solution

    |

  13. Two sides of a triangle are given, find the angle between them such th...

    Text Solution

    |

  14. The slant side of a right circular cone is l. Show that the semi verti...

    Text Solution

    |

  15. Find the height of a covered box of fixed volume so that the total s...

    Text Solution

    |

  16. Find the equations of tangent and normal to the following curves at th...

    Text Solution

    |

  17. Find the equations of tangent and normal to the following curves at th...

    Text Solution

    |

  18. Find the equations of tangent and normal to the following curves at th...

    Text Solution

    |

  19. Find the equations of tangent and normal to the curve x^2+y^2 = 5, whe...

    Text Solution

    |

  20. The displacement s of a particle at time t is given by s = t^3 -4t^2 -...

    Text Solution

    |