Home
Class 12
MATHS
The Minimum value of the function f(x)=x...

The Minimum value of the function `f(x)=x^(3)-18x^(2)+96x` in `[0,9]`

A

126

B

0

C

135

D

160

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 6

    EDUCART PUBLICATION|Exercise SECTION - C |9 Videos
  • SAMPLE PAPER 6

    EDUCART PUBLICATION|Exercise SECTION - C |9 Videos
  • SAMPLE PAPER 4

    EDUCART PUBLICATION|Exercise SECTION - C|7 Videos
  • SAMPLE PAPER 7

    EDUCART PUBLICATION|Exercise SECTION -C|10 Videos

Similar Questions

Explore conceptually related problems

The minimum value of the function f (x) =x^(3) -3x^(2) -9x+5 is :

The Minimum value of the function f(x)=2x^(4)-3x^(2)+2x-5 , x in [-2,2] is

Minimum value of the function f(x)= (1/x)^(1//x) is:

The minimum value of the function f(x)=2x^(4)-3x^(2)+2x-5 , x in [-2,2] is

The minimum value of the function f(x)=2x^(4)-3x^(2)+2x-5 , x in [-2,2] is

Find the maximum value of the function f(x)=5+9x-18x^(2)

The minimum value of the function f(x) = x log x is

The least value of the function f(x)=x^(3)-18x^(2)+96x in the interval [0,9] is 126(b)135(c)160(d)0

The maximum value of the function f(x)=3x^(3)-18x^(2)+27x-40 on the set S={x in R: x^(2)+30 le 11x} is:

Determine the maximum and minimum values of the function f(x) = 2x^(3) - 21 x^(2) + 36x-20

EDUCART PUBLICATION-SAMPLE PAPER 6 -SECTION -B
  1. If A=[{:(alpha,0),(1,1):}]and B=[{:(1,0),(2,1):}] such that A^(2)=B, t...

    Text Solution

    |

  2. If f(x)={((sqrt(1+kx)-sqrt(1-kx))/(x),",","for" -1 lex lt 0),(2x^(2)+3...

    Text Solution

    |

  3. The carner points of the feasible region formed by the system of linea...

    Text Solution

    |

  4. If the matrix [{:(1,2,x),(1,1,1),(2,1,-1):}] is singular , then the va...

    Text Solution

    |

  5. Write the principal value of tan^(-1)(1)+cos^(-1)(-1/2)

    Text Solution

    |

  6. The relation R in the set A be defined as R={(a,b)aleb} , then , R is ...

    Text Solution

    |

  7. If normal to the curve x^(2)+y^(2)-2x-3=0 is parallel to the y-axis ,t...

    Text Solution

    |

  8. The function f defined by f(x)=(4sinx-2x-xcosx)/(2+cosx),0lexle2pi is ...

    Text Solution

    |

  9. The derivative of sin^(2)x with respect to e^(cosx) is :

    Text Solution

    |

  10. If x=sint and y=cos2t, then (dy)/(dx) =

    Text Solution

    |

  11. find the least value of a such that the function x^2+ax+1 is strictly ...

    Text Solution

    |

  12. If set A has 3 elements and the set B has 5 elements , then , the numb...

    Text Solution

    |

  13. If C(ij) denotes the cofactor of the elements a(ij) of the determinant...

    Text Solution

    |

  14. The derivative of sqrt(secsqrt(x)) with respect to x , is :

    Text Solution

    |

  15. If A=[{:(1,-3),(2,-1):}]andA^(3)-6A^(2)+5A+6l=O, then the value of A^(...

    Text Solution

    |

  16. The corner points of the feasible region determined by a system of lin...

    Text Solution

    |

  17. If |{:(4,1),(2,1):}|^(2)=|{:(3,2),(1,x):}|-|{:(x,3),(-2,1):}|, then th...

    Text Solution

    |

  18. The curve y= x^(1/5) has at (0, 0)

    Text Solution

    |

  19. The Minimum value of the function f(x)=x^(3)-18x^(2)+96x in [0,9]

    Text Solution

    |

  20. If A=[{:(2,3,-1),(1,4,2):}]andB=[{:(2,3),(4,5),(2,1):}], then AB=

    Text Solution

    |