Home
Class 12
MATHS
Verify Rolle's theorem for the function:...

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

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 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)

Verify Rolle's theorem for the function: f(x) = frac {2}{e^x + e^(-x) on [-1,1]

Verify Rolle's theorem for the following functions: f(x)= sin x + cos x + 7, x in (0, 2 pi )

Verify Rolle's theorem for the following functions: f(x) = sin x + cos x +5 , x in [0, pi ]

Given an interval (a,b) that satisfies hypothesis of Rolle's theorem for the function f(x) = x^4 + x^2 -2. It is known that a=-1. Find the value of b.

Verify Rolle's theorem for the following functions: f(x) = sin(x/2), x in [0, 2 pi]

CHETANA PUBLICATION-Applications of Derivatives-Exercise
  1. Check whether conditions of Rolle's theorem are satisfied by the follo...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |