Home
Class 14
MATHS
What is the least value of f(x) = 2x^(3)...

What is the least value of `f(x) = 2x^(3) - 3x^(2) - 12x +1` on [-2,2.5] ?

A

`-3`

B

8

C

`-19`

D

`-16.5`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |85 Videos
  • 3-D GEOMETRY

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|108 Videos
  • AREA BOUNDED BY CURVES

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|39 Videos

Similar Questions

Explore conceptually related problems

least value of the function f(x)=2x^(3)-3x^(2)-12x+1 on [-2,2.5]

Maximum value of f(x)=2x^(3)-3x^(2)-12x+6 is

Maximum value of f(x) =2x^(3)-9x^(2)+12x-2 is

f(x)=2x^(2)+3x^(2)-12x+5

Find the greatest and the least values of the following functions on the indicated intervals : f(x) =2x^(3) -3x^(2) -12x +1 " on " [-2 ,5//2] ,

Find the greatest and least values of f(x) =x^(2) -12x " "X in [-1,3] .

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

Discuss the extremum of f(x)=2x^(3)-3x^(2)-12x+5 for x in[-2,4] and the find the range of f(x) for the given interval.

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

PUNEET DOGRA-APPLICATION OF DERIVATIVES-PREV YEAR QUESTIONS
  1. Consider the following statements: I. The derivative where the fu...

    Text Solution

    |

  2. The function f(x) = x^(2) -4x, x in [0,4] attains minimum value at:

    Text Solution

    |

  3. The function f(x) = x^(3) - 3x^(2) + 6 is an increasing function for

    Text Solution

    |

  4. What is the minimum value of [x] ?

    Text Solution

    |

  5. What is the slope of the tangent to the curve x =t^(2) + 3t-8, y =2t^(...

    Text Solution

    |

  6. Which of the following statement is correct?

    Text Solution

    |

  7. How many tangents are parallel to x axis for the curve y= x^(2) - 4x +...

    Text Solution

    |

  8. What is the value of p for which the function f(x) = p sin x +1/3 sin ...

    Text Solution

    |

  9. The largest value of 2x^(3) - 3x^(2) -12x + 5 for -2 le x le 2 occurs...

    Text Solution

    |

  10. the domain of the function f(x)=log(3+x)(x^(2)-1) is

    Text Solution

    |

  11. What is the value of p for which the function f(x) = p sin x +1/3 sin ...

    Text Solution

    |

  12. The surface area of a cube is equal to that of a sphere. If x is the v...

    Text Solution

    |

  13. Whal is the interval over which the function, f(x) = 6x -x^(2), x gt 0...

    Text Solution

    |

  14. For a point of inflection of y = f(x), which one of the following is ...

    Text Solution

    |

  15. What is the least value of f(x) = 2x^(3) - 3x^(2) - 12x +1 on [-2,2.5]...

    Text Solution

    |

  16. If f(x) = kx^(3) -9x^(2) + 9x +3 is monotonically increasing in every ...

    Text Solution

    |

  17. A balloon is pumped at the rate of 4 cm^(3)//s. What is the rate at wh...

    Text Solution

    |

  18. Two right circular cylinders of equal volume have their heights in the...

    Text Solution

    |

  19. The point for the curve, y=xe^(x),

    Text Solution

    |

  20. Given that y=sin3x+(4)/(3)cos3x. What is the maximum rate of change in...

    Text Solution

    |