Home
Class 12
MATHS
Discuss the applicability of Rolle's the...

Discuss the applicability of Rolle's theorem on the function given by
`f(x) = {{:(x^(2)+1,if0lexle1),(3-x,if1lexle2):}`

Promotional Banner

Topper's Solved these Questions

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    ML KHANNA|Exercise PROBLEM SET (4)|20 Videos

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    ML KHANNA|Exercise PROBLEM SET (5) (MULTIPLE CHOICE QUESTIONS) |12 Videos

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    ML KHANNA|Exercise PROBLEM SET (2) (FILL IN THE BLANKS) |2 Videos

  • INVERSE CIRCULAR FUNCTIONS

    ML KHANNA|Exercise Self Assessment Test|25 Videos

  • LINEAR PROGRAMMING

    ML KHANNA|Exercise Self Assessment Test|8 Videos

Similar Questions

Explore conceptually related problems

Discuss the applicability of Rolles theorem for the function f(x)=x^(2/3) on [-1,1]

Discuss the applicability of Rolles theorem for the function f(x)=3+(x-2)^(2/3) on [1,3]

Discuss the applicability of Rolles theorem for the function f(x)=3+(x-2)^(2/3) on [1,3]

Discuss the applicability of Rolle's theorem of the following functions: f(x) =x^(2) in 2 le x le 3

Discuss the applicability of Rolles theorem for the function f(x)=2x^(2)-5x+3 on [1,3]

Discuss the applicability of Rolle's theorem on the function f(x) = {((x^(2) + 1),"when " 0 le x le 1),((3 -x),"when " 1 lt x le 2):}

Discuss the applicability of Rolles theorem for f(x)=|x| on [-1,1]

Discuss the applicability of Rolle's theorem of the following functions: f(x) = tan x in 0 le x le pi

Discuss the applicability of Rolles theorem for f(x)=tan x on [0,pi]

Discuss the applicability of Rolles theorem for the function f(x)=(sin1)/(x) for -1<=x<=1

ML KHANNA-LIMITS, CONTINUITY AND DIFFERENTIABILITY -PROBLEM SET (3)
  1. Verify Rolle's theorem for the following function f(x) = 2x^(3) + x^(2...

    Text Solution

    |

  2. Verify Rolles theorem for the function: f(x)=x(x+3)e^(-x//2) on [-3...

    Text Solution

    |

  3. Show that there is no real number p for which the equation x^2 -3x + p...

    Text Solution

    |

  4. Verify Rolle's theorem for the function f(x) = x^(2) in the interval [...

    Text Solution

    |

  5. Verify the Rolle's theorem for the functionf(x) = x^(2) - 3x+2 ...

    Text Solution

    |

  6. If a+b + c = 0, then show that the quadratic equation 3ax^(2) + 2bx +c...

    Text Solution

    |

  7. Discuss the applicability of Rolles theorem for the function f(x)=x...

    Text Solution

    |

  8. Discuss the applicability of Rolle's theorem on the function given by ...

    Text Solution

    |

  9. Discuss the application of Rolle's theorem to the function f(x) = log ...

    Text Solution

    |

  10. Verify Rolle's theorem for the function f(x) = x^(3) -6x^(2) + 11x-6 i...

    Text Solution

    |

  11. Verify Rolle's Theorem for the function f(x)= 10x - x^(...

    Text Solution

    |

  12. Find 'c' of the mean value theorem, if: f(x) = x(x-1) (x-2), a=0, b=...

    Text Solution

    |

  13. If f(x) =log x find all numbers strictly between e^(2) and e^(3) such ...

    Text Solution

    |

  14. Separate the intervals in which the polynomial 2x^(3) -15x^(2) + 36x+1...

    Text Solution

    |

  15. Use the function f(x)=x^(1/x),x >0, to determine the bigger of the two...

    Text Solution

    |

  16. Show that Lagrange's mean value theorem does not holdior the function ...

    Text Solution

    |

  17. Verify Lagrange's mean yalue'theorem for the function f(x) = sin x in ...

    Text Solution

    |

  18. If f'[x) exists for all points in [a,b] and (f(c ) -f(a))/(...

    Text Solution

    |

  19. If f(x) = (x-1)(x-2) and a = 0, b = 4, find 'c' using Lagrange's mean ...

    Text Solution

    |

  20. Examine if Mean Value Theorem applies to f(x) = x^(3) + 3x^(2) - 5x i...

    Text Solution

    |