Home
Class 12
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:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|367 Videos
  • MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|251 Videos

Similar Questions

Explore conceptually related problems

The greatest value of f(x)=cos(x e^([x])+7x^(2)-3x), x in [-1,oo) is :

The greatest value of : f(x) =cos[x e^([x])+7x^(2)-3x], x in [-1, oo) is :

The maximum value of [x(x-1)+1]^(1/3) is 0 le x le 1 is

The value of f(0) so that the function f(x) = ((27-2x)^(1/3)-3)/(9-3(243+5x)^(1/5)), x ne 0 is continuous, is given by

The value of lim_(x rarr 0) ((1 + 5x^(2))/(1+3x^(2)))^(1//x^(2)) is :

The real values of x for which 3^(72) ((1)/(3))^(x) ((1)/(3))^(sqrt(x)) lt 1, are :

HIMALAYA PUBLICATION-MAXIMA AND MINIMA-QUESTION BANK
  1. The range in which y = - x^(2) + 6x -3 is increasing is

    Text Solution

    |

  2. The function f(x)=cot^(-1)x +x increases in the interval :

    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 real number x when added to its inverse gives the minimum value of...

    Text Solution

    |

  5. If the function f(x)=2x^(3)-9ax^(2)+12a^(2)x+1, where a gt0 attains it...

    Text Solution

    |

  6. The function f(x)=(x)/(2)+(2)/(x) has a local minimum at :

    Text Solution

    |

  7. A triangular park is enclosed on two sides by a fence and on the third...

    Text Solution

    |

  8. If x is real, the maximum value of (3 x^(2)+9 x+17)/(3 x^(2)+9 x+7) is

    Text Solution

    |

  9. Let x and y be two variables such that x gt 0 and xy =1. Then the mini...

    Text Solution

    |

  10. The maximum value of the function f(x) = sin (x+pi/6)+ cos (x+pi/6) in...

    Text Solution

    |

  11. The function f(x) is defined by f(x) = (x+2)e^(-x) is

    Text Solution

    |

  12. The function f(x) = sin^(4)x + cos^(4) x increases if

    Text Solution

    |

  13. Consider the following statements S and R S : Both sin x and cos x ar...

    Text Solution

    |

  14. Let f(x) = {(|x|, for 0 <|x| < 2)= 1,for x =0 } Then at x = 0, f (x) ...

    Text Solution

    |

  15. The length of the largest interval, in which the function 3 sin x - 4 ...

    Text Solution

    |

  16. If f(x)=x^(3)+bx^(2)+cx+d and 0 lt b^(2) lt c, then in (-oo, oo), f(x)...

    Text Solution

    |

  17. If f(x)=x^(3)+bx^(2)+cx+d and 0 lt b^(2) lt c, then in (-oo, oo), f(x)...

    Text Solution

    |

  18. The minimum 2x^(3) - 3x^(2)-12x+8 occurs at x =

    Text Solution

    |

  19. If x is real, the minimum value of x^(2)-8x+17 is :

    Text Solution

    |

  20. The maximum value of f(x) = 2x^(3) -21 x^(2) +36x +20 in 0 le x le 2

    Text Solution

    |