Home
Class 12
MATHS
Check whether conditions of Rolle's theo...

Check whether conditions of Rolle's theorem are satisfied by the following functions: `f(x) = 2x^3 -5 x^2 + 3x +2 , x in (0,3/2)`

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

Check whether conditions of Rolle's theorem are satisfied by the following functions: f(x) = x^2 - 2x + 3, x in (1,4)

Check whether the condition of Rolle's theorem are satisfied by the following functions or not: f(x) = e^(-x) sin x , x in (0, pi )

Check whether the condition of Rolle's theorem are satisfied by the following functions or not: f(x) = (x-1)(x-2)(x-3) , x in (1,3)

Check the validity of the Rolle's theorem for the following functions: f(x) = 2x^2 -5x +3 , x in [1,3]

Verify Rolle's theorem for the following functions: f(x) = x^2 -5x +9 , x in (1,4)

Verify Rolle's theorem for the following functions: f(x) = x^2 -5x +9, x in [1,4]

Check the validity of the Rolle's theorem for the following functions: f(x) = x^(2/3), x in [-1,1]

CHETANA PUBLICATION-Applications of Derivatives-Exercise
  1. Find the approximate value of log(10)(998), Given that log(10)(e) = 0....

    Text Solution

    |

  2. Find the approximate value of f(x)= x^3 + 5x^2 -2x +3 at x=1.98

    Text Solution

    |

  3. Check whether conditions of Rolle's theorem are satisfied by the follo...

    Text Solution

    |

  4. Check whether conditions of Rolle's theorem are satisfied by the follo...

    Text Solution

    |

  5. Verify Rolle's theorem for the function: f(x) = x^2 -4x +10 on (0,4)

    Text Solution

    |

  6. Given an interval (a, b) that satisfies hypothesis of Rolle's theorem ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |