Home
Class 12
MATHS
The function f(x)=2x^(3)-3x^(2)-12x-4 ha...

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

A

no maxima and minima

B

one maximum and one minimum

C

twon maxima

D

two minima

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    OBJECTIVE RD SHARMA|Exercise Exercise|50 Videos
  • MATHEMATICAL REASONING

    OBJECTIVE RD SHARMA|Exercise Chapter Test|20 Videos
  • MEASURES OF CENTRAL TENDENCY

    OBJECTIVE RD SHARMA|Exercise Chapter Test|21 Videos

Similar Questions

Explore conceptually related problems

Find the points of local maxima and local minima of the function f(x)=2x^(3)-3x^(2)-12x+8 .

At x=-1 ,the function f(x)=2x^(3)-3x^(2)-12x+12 is O maximum O minimum O neither maximum nor minimum O increasing

The function f(x)=2x^3-3x^2-12x+5 has a minimum at x=

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

The interval in which the function f(x)=2x^(3)-9x^(2)+12x-15 is increasing, is :

The interval on which the function f(x)=-2x^(3)-9x^(2)-12x+1 is increasing is :

The function f(x) = 2x^(3) + 3x^(2) -12 x + 1 decreases in the interval

Separate the intervals of monotonocity for the function f(x)=-2x^(3)-9x^(2)-12x+1

Show that the function f(x)=(x^(3)-6x^(2)+12x-18) is an increasing function on R.

The function f(x)=x^(3)-6x^(2)+12x-16, x in R is

OBJECTIVE RD SHARMA-MAXIMA AND MINIMA -Chapter Test
  1. The least value of a for which the equation 4/(sinx)+1/(1-sinx)=a has ...

    Text Solution

    |

  2. The minimum value of f(x)=e^((x^4-x^3+x^2)) is

    Text Solution

    |

  3. If the function f(x)=a/x+x^2 has a maximum at x=-3 then a=

    Text Solution

    |

  4. Find the maximum value of 4sin^2x+3cos^2+sinx/2+cosx/2dot

    Text Solution

    |

  5. The least value of the f(x) given by f(x)=tan^(-1)x-1/2 logex " in t...

    Text Solution

    |

  6. The slope of the tangent to the curve y=e^x cosx is minimum at x= a,0 ...

    Text Solution

    |

  7. The value of a for which the function f(x)={{:(tan^(-1)a -3x^2" , " ...

    Text Solution

    |

  8. The minimum value of 27^(cos3x)81^(sin3x) is

    Text Solution

    |

  9. If f(x)=(x^2-1)/(x^2+1) , for every real x , then the maximum value o...

    Text Solution

    |

  10. f(x) = |x|+|x-1| +|x-2|, then which one of the following is not correc...

    Text Solution

    |

  11. The maximum value of f(x)=(logx)/(x)(x ne 0, x ne1) is

    Text Solution

    |

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

    Text Solution

    |

  13. In (-4,4) the function f(x)=int(-10)^x (t^2-4)e^(-4t) dt , has

    Text Solution

    |

  14. On [1,e] the gratest value of x^2logex, is

    Text Solution

    |

  15. Let f(x)={x+2,-1lelt0 1,x=0 (x)/(2),0ltxle1

    Text Solution

    |

  16. If f(x)=(x^2-1)/(x^2+1) , for every real x , then the maximum value o...

    Text Solution

    |

  17. The function f:R rarr R be defined by f(x)=2x+cosx then f

    Text Solution

    |

  18. The maximum distance from origin of a point on the curve x=asint-bsin(...

    Text Solution

    |

  19. The maximum value of x^(1//x) is

    Text Solution

    |

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

    Text Solution

    |