Home
Class 12
MATHS
Show that Rolle's theorem is not applica...

Show that Rolle's theorem is not applicable to the following functions in the specified intervals:
`f(x)=|x-1|" in " 0 le x le 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

Show that Rolle's theorem is not applicable to the following functions in the specified intervals: f(x)=tan x " in " 0 le x le pi

Show that Rolle's theorem is not applicable to the following functions in the specified intervals: f(x)={(x^(2)+1" when " 0 le x le 1),(3-x" when "1 lt x le 2):}

Show that Rolle's theorem is not applicable to the following functions in the specified intervals: f(x)=2+(x-2)^((2)/(3))" in " 1 le x le 3

Show that Rolle's theorem is not applicable to the following functions in the specified intervals: f(x)=1-root(3)(x^(2))" in " -1 le x le 1

Examine whether Rolle's theorem is applicable to the following functions in the given intervals : f(x)=|x|" in " -1 le x le 1

Show that Roll's theorem is not applicable to the following function in the interval 0 le x le 2 : f(x)={(" "2x" when " x le 1),(4-2x" when "x gt 1):}

Examine whether Rolle's theorem is applicable to the following functions in the given intervals : f(x)=cot x" in " -(pi)/(2) le x le (pi)/(2)

Examine whether Rolle's theorem is applicable to the following functions in the given intervals : f(x)=1+(x-3)^((2)/(3))" in " 2 le x le 4

Examine whether Rolle's theorem is applicable to the following function in the given intervals: f(x) = cos x in - pi/2 le x le pi/2

Rolle's theorem is not applicable to the function f(x)=|x| for -2lexle2 because

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. If f'(x) exists and if f'(x) lt 0 everywhere in the interval a le x...

    Text Solution

    |

  11. Form Lagrange's mean value theorem formula for the function f(x)=sinx...

    Text Solution

    |

  12. Verify the truth of Lagrange's mean value theorem formula for the foll...

    Text Solution

    |

  13. Verify the truth of Lagrange's mean value theorem formula for the foll...

    Text Solution

    |

  14. Verify the truth of Lagrange's mean value theorem formula for the foll...

    Text Solution

    |

  15. Verify the truth of Lagrange's mean value theorem formula for the foll...

    Text Solution

    |

  16. Verify the truth of Lagrange's mean value theorem formula for the foll...

    Text Solution

    |

  17. Verify the truth of Lagrange's mean value theorem formula for the foll...

    Text Solution

    |

  18. Verify the truth of Lagrange's mean value theorem formula for the foll...

    Text Solution

    |

  19. Verify the truth of Lagrange's mean value theorem formula for the foll...

    Text Solution

    |

  20. If f'(x)=0 for all values of x in an interval, then show that f(x) is ...

    Text Solution

    |