Home
Class 12
MATHS
Verify the truth of Rolle's theorem for ...

Verify the truth of Rolle's theorem for the functions:
`f(x)=x^(3)-x^(2)-4x+4 " in "-2 le x lt 2`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise EXERCISE 3B (Short Answer Type Questions)|18 Videos
  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Multiple Correct Answers Type)|5 Videos
  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise EXERCISE 3B (Multiple Choice Type Questions)|9 Videos
  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise E ASSERTION-REASON TYPE|2 Videos
  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

Verify the truth of Rolle's theorem for the functions: f(x)=x^(3)+5x^(2)-6x" in " 0 le x le 1

Verify the truth of Rolle's theorem for the functions: f(x)=x^(2)-4x+3" in " [1, 3]

Verify the truth of Rolle's theorem for the functions: f(x)=x^(2)-5x+6 " in " 2 le x le 3

Verify the truth of Rolle's theorem for the functions: f(x)=x^(2)-x-12" in " [-3, 4]

Verify the truth of Rolle's theorem for the functions: f(x)=e^(-x)sinx" in " [0, pi]

Verify the truth of Rolle's theorem for the functions: f(x)=x^(2)+2x-8" in " -4 le x le 2

Verify the truth of Rolle's theorem for the functions: f(x)=sin^(2)x " in " 0 le x le pi

Verify the truth of Rolle's theorem for the functions: f(x)=(x-1)(x-2)(x-3)" in " [1, 3]

Verify the truth of Rolle's theorem for the functions: f(x)=cos^(2)x" in " -(pi)/(4) le x le (pi)/(4)

Verify the truth of Rolle's theorem for the functions: f(x)=sin3x " in " 0 le x le pi

CHHAYA PUBLICATION-DIFFERENTIATION-EXERCISE 3B (Very Short Answer Type Questions)
  1. Verify the truth of Rolle's theorem for the functions: f(x)=x^(3)+5...

    Text Solution

    |

  2. Verify the truth of Rolle's theorem for the functions: f(x)=(x-1)(x-...

    Text Solution

    |

  3. Verify the truth of Rolle's theorem for the functions: f(x)=x^(3)-x^...

    Text Solution

    |

  4. Verify the truth of Rolle's theorem for the functions: f(x)=sin^(2)...

    Text Solution

    |

  5. Verify the truth of Rolle's theorem for the functions: f(x)=cos^(2)...

    Text Solution

    |

  6. Verify the truth of Rolle's theorem for the functions: f(x)=x^(2)-x...

    Text Solution

    |

  7. Verify the truth of Rolle's theorem for the functions: f(x)=x^(2)-5...

    Text Solution

    |

  8. Verify the truth of Rolle's theorem for the functions: f(x)=cosx " ...

    Text Solution

    |

  9. Verify the truth of Rolle's theorem for the functions: f(x)=sin3x "...

    Text Solution

    |

  10. Verify the truth of Rolle's theorem for the functions: f(x)=e^(-x)s...

    Text Solution

    |

  11. Verify the truth of Rolle's theorem for the functions: f(x)=x^(2)-4...

    Text Solution

    |

  12. Verify the truth of Rolle's theorem for the functions: f(x)=sinx-si...

    Text Solution

    |

  13. Show that Rolle's theorem is not applicable to the following functions...

    Text Solution

    |

  14. Show that Rolle's theorem is not applicable to the following functions...

    Text Solution

    |

  15. Show that Rolle's theorem is not applicable to the following functions...

    Text Solution

    |

  16. Show that Rolle's theorem is not applicable to the following functions...

    Text Solution

    |

  17. Show that Rolle's theorem is not applicable to the following functions...

    Text Solution

    |

  18. Lagrange's mean value theorem is , f(b)-f(a)=(b-a)f'(c ), a lt c lt ...

    Text Solution

    |

  19. Lagrange's mean value theorem is , f(b)-f(a)=(b-a)f'(c ), a lt c lt ...

    Text Solution

    |

  20. Is Lagrange's mean value theorem applicable to the function f(x)=4(6-x...

    Text Solution

    |