Home
Class 11
MATHS
Value of 'c' of Rolle's theorem for f(x)...

Value of 'c' of Rolle's theorem for `f(x) = |x| ` in `[-1,1]` is

A

0

B

1

C

`-1`

D

does not exists

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-I (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|1 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (PRACTICE SHEET )(ADVANCED)) (INTEGER TYPE QUESTIONS)|3 Videos

  • MULTIPLE & SUBMULTIPLE

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - II) (LEVEL - II) (Linked Comprehension Type Questions)|5 Videos

Similar Questions

Explore conceptually related problems

Value of 'c' of Rolle's theorem for f(x) = {:{ (x^(2) + 1,"when "0lexle1),(3 - x,"when "1lexle2):}

The constant 'c' of Rolle's theorem for the function f(x) =sin x in [0,2pi] is

The value of 'c' in Rolle's theorem for f(x) = log ((x^(2) + ab)/(x(a+b))) in (a,b) where a gt 0 is

The value of 'c' by Rolle's Theorem for which f(x) =1-root(3)(x^(4) in [-1,1] is

AAKASH SERIES-MEAN VALUE THEOREMS-PRACTICE SHEET (EXERCISE-I (LEVEL-I))
  1. If f(x) satisfies Rolle's theorem for f(x) in [a,b] then int(a)^(b) f'...

    Text Solution

    |

  2. Rolle's theorem cannot be applicable for

    Text Solution

    |

  3. Value of 'c' of Rolle's theorem for f(x) = |x| in [-1,1] is

    Text Solution

    |

  4. Given n is a positive integer for the function f(x) = 5x(x-2)^(n), x i...

    Text Solution

    |

  5. If (a(0))/(n+1) + ( a(1))/( n ) + ( a(2))/( n -1)+"......"+ (a(n-1))/...

    Text Solution

    |

  6. The value of 'c' in Rolle's theorem for f(x) = log ((x^(2) + ab)/(x(a...

    Text Solution

    |

  7. Rolle's theorem holds for the function x^(3) + bx^(2) + cx, 1 le x le...

    Text Solution

    |

  8. Let f(x) and g(x) be differentiable functions for 0 le x le 1 such t...

    Text Solution

    |

  9. Let f(x) = sqrt(x-1) + sqrt(x+ 24-10sqrt(x-1)),1 lt x lt 26 be real va...

    Text Solution

    |

  10. Rolle's theorem can not applicable for

    Text Solution

    |

  11. If f be a continuous function on [0,1], differentiable in (0,1) such t...

    Text Solution

    |

  12. Let f : [2,7] rarr [ 0 , oo) be a continuous and differentiable funct...

    Text Solution

    |

  13. A value of c for which the conclusion of Mean Value Theorem holds for ...

    Text Solution

    |

  14. The value of 'c' in Lagrange's mean value theorem for f(x) = log x on...

    Text Solution

    |

  15. The value of 'c' in Lagrange's mean value theorem for f(x) = x^(3)-2x^...

    Text Solution

    |

  16. The value of theta of mean value theorem for the function f(x) = ax^(2...

    Text Solution

    |

  17. The value of 'c' prescribed by Lagrange's mean value theorem , when f(...

    Text Solution

    |

  18. The value of C in the lagrange's mean value theroem for f(x) = sqrt( x...

    Text Solution

    |

  19. The value of 'theta' of the Lagrange's mean value theorem for f(x) = x...

    Text Solution

    |

  20. The chord joining the points where x=p and x=q on the curve y =a x^(2)...

    Text Solution

    |