Home
Class 12
MATHS
The least value of the function f(x)=x^3...

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

Text Solution

AI Generated Solution

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 least value of the function f(x)=x^3-18 x^2+96 x in the interval [0,9] is ?

Verify Rolle's theorem for the function f(x)=x^(3)-3x^(2)+2x in the interval [0,2] .

In Rolle's theorem the value of c for the function f(x)=x^(3)-3x in the interval [0,sqrt(3)] is

The maximum value of the function f(x)=((1+x)^(0. 6))/(1+x^(0. 6)) in the interval [0,1] is 2^(0. 4) (b) 2^(-0. 4) 1 (d) 2^(0. 6)

The least value of the function f(x) = ax + (b)/(x) (x gt 0, a gt 0, b gt 0)

The least value of the function f(x)= 2cosx +x in the closed interval [0,pi/2] is: A. 2 B. pi/6 + sqrt3 C. pi/2 D. The least value does not exist

The smallest value of th polynomial x^(3) - 18 x^(2) + 96 x in [0,9] is

The value of c in Rolle's theorem for the function f(x) = x^(3) - 3x in the interval [0,sqrt(3)] is

The value of c in Rolle's theorem for the function f(x) = x^(3) - 3x in the interval [0,sqrt(3)] is

Q 9.The function f(x)=-2x^(3)+21x^(2)-60x+41 , in the interval (-oo,1) is: a. 0

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

    |