Home
Class 12
MATHS
The minimum 2x^(3) - 3x^(2)-12x+8 occurs...

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

A

(-1)

B

2

C

`sqrt6`

D

`-sqrt6`

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 function f(x)=2x^(3)-3x^(2)-12x+4 has :

Find both the maximum value and the minimum value 3x^(4) - 8x^(3) + 12x^(2) - 48x + 25 on the interval [0,3].

The minimum value of 2^((x^(2)-3)^(3)+27) is :

Find the interval in which f(x)=2x^(3)+3x^(2)-12x+1 is increasing.

Divide 30x^(4) + 11x^(3) - 82x^(2) - 12x + 48 by ( 3x^(2) + 2x - 4 ) and verify the result by division algorithm.

If x+y = 12, then the minimum value of x^(2) + y^(2) is

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

We must be added to 2x^(3)+3x^(2)-22x+12 so that the result is exactly divisible by 2x^(2)+5x-14

HIMALAYA PUBLICATION-MAXIMA AND MINIMA-QUESTION BANK
  1. If f(x)=x^(3)+bx^(2)+cx+d and 0 lt b^(2) lt c, then in (-oo, oo), f(x)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. The minium distance from the point (4,2) to the curve y^(2)=8x, is equ...

    Text Solution

    |

  7. If x and y are strictly positive such that x+y =1, then the minimum va...

    Text Solution

    |

  8. If x+y = 12, then the minimum value of x^(2) + y^(2) is

    Text Solution

    |

  9. If l^(2) + m^(2) =1, then the maximum value of l+m is

    Text Solution

    |

  10. The minimum value of x^(x) is

    Text Solution

    |

  11. The maximum value of xy subjects to x+y =7 is

    Text Solution

    |

  12. The minimum value of (x- alpha)(x-beta) is

    Text Solution

    |

  13. Show that y = log(1 +x) - (2x)/(2 + 2x) , x gt -1, is an increasing fu...

    Text Solution

    |

  14. The function f(x) = xe^(-x) (x in R) attains a maximum value at x =

    Text Solution

    |

  15. Observe the following statements: A : f(x) = 2x^(3)-9x^(2)+12x-3 is in...

    Text Solution

    |

  16. If x is real then the minimum value of (x^(2)-x+1)/(x^(2)+x+1) is

    Text Solution

    |

  17. The perimeter of a sector is a constant . If its area is to be maximum...

    Text Solution

    |

  18. In the interval (-3,3) the function f(x) = x/3 + 3/x, x ne 0 is

    Text Solution

    |

  19. The function f(x) = 1-x^(3)-x^(5) is decreasing for

    Text Solution

    |

  20. If PQ and PR are the two sides of a triangle, then the angle between t...

    Text Solution

    |