Home
Class 11
MATHS
The greatest value of f(x)=(x+1)^(1//3)-...

The greatest value of `f(x)=(x+1)^(1//3)-(x-1)^(1//3)` on [0,1] is

A

1

B

2

C

3

D

`(1)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -II) (LEVEL -II)(MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS|6 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -II) (LEVEL -II) (MATRIX MATCHING TYPE QUESTIONS)|2 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I) (LEVEL -II) (INTERGER TYPE QUESTIONS)|3 Videos
  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos
  • MEAN VALUE THEOREMS

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

Similar Questions

Explore conceptually related problems

The greatest value of f(x)=(x+1)^(1//3) on [0,1] is

Maximum value of f(x)=(2+x)^(1//3)(1-x)^(2//3) is

The difference between the greatest and least values of f(x)=int_(0)^(x)(l+1)dt on [2,3] is

The greatest value of f(x)=sin{x [x]+e^([x])+(pi)/(2)-1} for all x in [0,oo) is

The least and the greatest values of (sin^(-1)x)^(3)+(cos^(-1)x)^(3) are

The greatest value of f(x)=int_(1)^(x)|t|dt on the interval [-(1)/(2), (1)/(2)] is :

If the greatest and least values of the funciton f(x)=x^(3)-6x^(2)+9x+1 on [0,2] are lambdaandmu then lambda+mu^(6)=

The least and the greatest values of f(x)=x^(2)logx in [1,e] are

AAKASH SERIES-MAXIMA AND MINIMA -PRACTICE SHEET (EXERCISE -II) (LEVEL -I) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The maximum value of (sqrt(-3+4x-x^(2))+4)^(2)+(x-5)^(2). (where 1lexl...

    Text Solution

    |

  2. On the interval [(5pi)/(4),(4pi)/(3)] the least value of the function...

    Text Solution

    |

  3. The greatest value of f(x)=(x+1)^(1//3)-(x-1)^(1//3) on [0,1] is

    Text Solution

    |

  4. The maximum valuue of the function f(x)=Sin(x+pi/6)+Cos(x+pi/6) in the...

    Text Solution

    |

  5. Let f(x)=cospix+10x+3x^(2)+x^(3),-2lexle3. The absolute minimum value ...

    Text Solution

    |

  6. The global maximum value of f(x)=log(10)(4x^(3)-12x^(2)+11x-3) . X in ...

    Text Solution

    |

  7. If x+y =28 then the maximum value of x^(3)y^(4) is

    Text Solution

    |

  8. If x+y = 6543298 and x^(11)y^5 is maximum then the ratio of the number...

    Text Solution

    |

  9. If x+y=k and xgt09,ygt0 then x^2+y^2 is minimum if

    Text Solution

    |

  10. Find the maximum value of 3x + 4yfor x gt 0, y gt 0 such that x^(2)y^(...

    Text Solution

    |

  11. If xgt0,ygt0,x+y=32 and x^6+y^6 is minimum then the numbers are

    Text Solution

    |

  12. The minimum value of 64 sec theta +27 cosec theta where theta lies in ...

    Text Solution

    |

  13. The minimum value of 27 tan^2 theta+3 cot ^2 theta is

    Text Solution

    |

  14. The sum of two positive numbers is equal to '2' and if the sum of thei...

    Text Solution

    |

  15. If the product of two + ve numbers is 256 then the least value of thei...

    Text Solution

    |

  16. x and y are two + ve numbers sucbs that xy=1 Then the minimum value of...

    Text Solution

    |

  17. The difference of two positive numbers is 10 . If the square of the gr...

    Text Solution

    |

  18. The range of y=(arc cosx)(arc sinx) is

    Text Solution

    |

  19. The greatest value of the expression P(x)=(1-x)^(5)(1+x)(1+2x)^(2)

    Text Solution

    |

  20. Let f(x) = (1+b^(2))x^(2) + 2bx + 1 and let m (b) be the minimum value...

    Text Solution

    |