Home
Class 12
MATHS
The least and greatest values of f(x)...

The least and greatest values of `f(x)=x^3-6x^2+9x` in `[0,\ 6]` , are `3,\ 4` (b) `0,\ 6` (c) `0,\ 3` (d) `3,\ 6`

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    RD SHARMA ENGLISH|Exercise All Questions|144 Videos

  • MEAN AND VARIANCE OF A RANDOM VARIABLE

    RD SHARMA ENGLISH|Exercise All Questions|125 Videos

Similar Questions

Explore conceptually related problems

Find the greatest and least values of (x+2)/(2x^(2)+3x+6) AA x in R

if (6x^2-5x-3)/(x^2-2x+6)<=4 , then the least and the highest values of 4x^2 are : (a) 0 and 81 (b) 9 and 81 (c) 36 and 81 (d) None of these

If the product of zeros of the polynomial f(x)=a x^3-6x^2+11 x-6 is 4, then a= (a) 3/2 (b) -3/2 (c) 2/3 (d) -2/3

The number of real root of the equal x^(3) -6x +9 = 0 is :

The set of values of c for which x^3 -6x^2 + 9x -c is of the form (x-a)^2(x - b) (a, b is real) is given by

Length of intercepts made by circle x^2+y^2-6sqrt(2)x-6y+9=0 on x and y-axis , are respectively 0, 6 (b) 6, 0 (c) 3, 3 (d) 6, 6

Find the critical points of the function f(x) =4x^(3)-6x^(2) -24x+9 " if f(i) x in [0,3] (ii) x in [-3,3] (iii) x in [-1,2]

Find the critical points of the function f(x) =4x^(3)-6x^(2) -24x+9 " if f(i) x in [0,3] (ii) x in [-3,3] (iii) x in [-1,2]

If the function f(x)=a x^3+b x^2+11 x-6 satisfies conditions of Rolles theorem in [1,3] and f'(2+1/(sqrt(3)))=0, then values of a and b , respectively, are (A) -3,2 (B) 2,-4 (C) 1,-6 (D) none of these

value of |(2,3,4),(5,6,8),(6x,9x,12x)|

RD SHARMA ENGLISH-MAXIMA AND MINIMA-All Questions
  1. The function f(x)=sum(r=1)^5(x-r)^2 assuming minimum value at x= ...

    Text Solution

    |

  2. At x=(5pi)/6,\ \ f(x)=2sin3x+3cos3x is (a) 0 (b) maximum (c) minimum (...

    Text Solution

    |

  3. If x lies in the interval [0,\ 1] , then the least value of x^2+x+1...

    Text Solution

    |

  4. The least value of the function f(x)=x^3-18 x^2+96 x in the interval [...

    Text Solution

    |

  5. The maximum value of f(x)=x/(4+x+x^2) on [-1,1] is (a)1/4 (b) -1/3 (c)...

    Text Solution

    |

  6. Find the point on the curve y^2=4x which is nearest to the point (2, 1...

    Text Solution

    |

  7. If x+y=8 , then the maximum value of x y is (a) 8 (b) 16 (c) 20 (d)...

    Text Solution

    |

  8. The least and greatest values of f(x)=x^3-6x^2+9x in [0,\ 6] , are ...

    Text Solution

    |

  9. f(x)=sin+sqrt(3)cosx is maximum when x= pi/3 (b) pi/4 (c) pi/6 (d) 0

    Text Solution

    |

  10. If a cone of maximum volume is inscribed in a given sphere, then th...

    Text Solution

    |

  11. The minimum value of (x^2+(250)/x) is (a) 75 (b) 50 (c) 25 (d) 55

    Text Solution

    |

  12. If f(x)=x+1/x ,\ \ x >0 , then its greatest value is -2 (b) 0 (c) 3...

    Text Solution

    |

  13. If f(x)=1/(4x^2+2x+1) , then its maximum value is 4/3 (b) 2/3 (c) 1...

    Text Solution

    |

  14. Let x ,\ y be two variables and x >0,\ \ x y=1 , then minimum value of...

    Text Solution

    |

  15. f(x)=1+2sinx+3cos^2x ,\ 0lt=xlt=(2pi)/3 is (a)Minimum at x=pi//2 (b) M...

    Text Solution

    |

  16. The function f(x)=2x^3-15 x^2+36 x+4 is maximum at x= (a) 3 (b) 0 (c)...

    Text Solution

    |

  17. The maximum value of f(x)=x/(4-x+x^2) on [-1,1] is (a)1/4 (b) -1/3 (c)...

    Text Solution

    |

  18. Let f(x)=2x^3-3x^2-12 x+5 on [-2,\ 4] . The relative maximum occurs...

    Text Solution

    |

  19. The minimum value of x\ (log)e x is equal to e (b) 1//e (c) -1//e (d) ...

    Text Solution

    |

  20. The minimum value of the function f(x)=2x^3-21 x^2+36 x-20 is -128 ...

    Text Solution

    |