Home
Class 12
MATHS
Let f (x) =x ^(3) + 6x ^(2) + ax +2, if ...

Let `f (x) =x ^(3) + 6x ^(2) + ax +2, if (-3, -1)` is the largest possible interval for which `f (x)` is decreasing function, then `a=`

A

3

B

9

C

`-2`

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    VK JAISWAL|Exercise EXERCISE (ONE OR MORE THAN ANSWER IS/ARE CORRECT )|29 Videos

  • APPLICATION OF DERIVATIVES

    VK JAISWAL|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|16 Videos

  • AREA UNDER CURVES

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|8 Videos

Similar Questions

Explore conceptually related problems

The largest interval in which f(x)=x^(3)+6x^(2)+36x+7 increasing is

The interval on which f(x)=2x^(3)+9x^(2)+12x-1 is decreasing in

Let f:R to [1,oo),f(x)=x^(2)-4x+5 . Then find the largest possible intervals for which f^(-1)(x) is defined and find corresponding f^(-1)(x).

Find the intervals in which f(x)=(x-1)^3(x-2)^2 is decreasing

The function f(x) = x^(3) - 6x^(2) +9x + 3 is decreasing for

Let f(x)=x^3-6x^2+12x-3 . Then at x=2 f(x) has

Let f(x)=3x+px^(2)+qx^(2)+6,p,q in R and f'(x)<0 in largest possible interval (-(5)/(3),-1) then value of q-p is

VK JAISWAL-APPLICATION OF DERIVATIVES -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. Let f (x) =x ^(3) + 6x ^(2) + ax +2, if (-3, -1) is the largest possib...

    Text Solution

    |

  2. A conical vessel is to be prepared out of a circular sheet of metal of...

    Text Solution

    |

  3. On [1,e], then least and greatest vlaues of f (x) = x^(2)ln x are m a...

    Text Solution

    |

  4. If f (x)= (px)/(e ^(x)) - (x ^(2))/(2) + x is a decreasing function f...

    Text Solution

    |

  5. Let f (x)= {{:( xe ^(ax)"," , x le 0),( x+ ax ^(2)-x ^(3)"," , x gt 0)...

    Text Solution

    |

  6. Find sum of all possible values of the real parameter 'b' is the diffe...

    Text Solution

    |

  7. Let 'theta' be the angle in radians between the curves (x ^(2))/(36) +...

    Text Solution

    |

  8. Let set of all possible values of lamda such that f (x)= e ^(2x) - (la...

    Text Solution

    |

  9. Let a,b,c and d be non-negative real number such that a ^(5)+b^(5) le ...

    Text Solution

    |

  10. There is a point (p,q) on the graph of f(x)=x^2 and a point (r , s) on...

    Text Solution

    |

  11. f (x)= max |2 sin y-x| where y in R then determine the minimum value o...

    Text Solution

    |

  12. Let f (x) = int (0)^(x) ((a -1) (t ^(2)+t+1)^(2) -(a+1)(t^(4)+t ^(2) +...

    Text Solution

    |

  13. The numbr of real roots of the equation x ^(2013)+ e ^(20144x) =0 is

    Text Solution

    |

  14. Let the maximum value of expression y= (x ^(4)-x ^(2))/(x ^(6) + 2x ^(...

    Text Solution

    |

  15. The least positive integral value of 'k' for which there exists at lea...

    Text Solution

    |

  16. Let f (x) =x ^(2) +2x -t ^(2) and f(x)=0 has two root alpha (t ) and b...

    Text Solution

    |

  17. A tank contains 100 litres of fresh water. A solution containing 1 gm/...

    Text Solution

    |

  18. If f (x) is continous and differentiable in [3,9) and f'(x) in [-2,8] ...

    Text Solution

    |

  19. It is given that f 9x) is difined on R satisfyinf f (1)=1 and for AA ...

    Text Solution

    |

  20. The number of normals to the curve 3y ^(3) =4x which passes through th...

    Text Solution

    |

  21. Find the number of real root (s) of the equation ae ^(x) =1+ x + (x ^(...

    Text Solution

    |