Home
Class 12
MATHS
Lel f(x)=x^3+6x^2+ax+2 lf the largest po...

Lel `f(x)=x^3+6x^2+ax+2` lf the largest possible interval in which f(x) is a decreasing function is `(-3-1)` then the value of a most be

Text Solution

Verified by Experts

The correct Answer is:
9
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=x^(3) +6x^(2) + px +2 , if the largest possible interval in which f(x) is a decreasing function is (-3,-1) , then the value of p is-

Find the intervals in which f(x)=(x+2) e^(-x) is decreasing

For the function f(x) = 2x^3-8x^2+10x+5 , find the interval (s) in which f(x) is decreasing

For the function f(x) = 2x^3-8x^2+10x+5 , find the interval (s) in which f(x) is increasing

Find the intervals in which the function f(x)=3/x+x/3 is decreasing

Find the interval in which f(x)=2x^3+3x^2-12x+1 is increasing.

Find the interval in which f(x)= 4x^3+3x^2+2x+1 is increasing.

Find the intervals in which the function f(x)= x/(x^2+1) is decreasing.

Find the interval where f(x) = 1/(1+x^2) decrease.

Find the intervals in which the function f(x)=(4x^(2)+1)/x is decreasing

PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. Match List - I with List-II

    Text Solution

    |

  2. Find values of x over which the function f(x)= x^2+2 is increasing

    Text Solution

    |

  3. Lel f(x)=x^3+6x^2+ax+2 lf the largest possible interval in which f(x) ...

    Text Solution

    |

  4. The function S(x)=underset0oversetx(int)sin((pit^2)/2) dt has two cri...

    Text Solution

    |

  5. If P(x) be a polynomial of degree 3 satisfyints P(-1)=10,P(1)=-6and P(...

    Text Solution

    |

  6. A line is tangent to the cvrve f(x)=(41x^3)/3 at the point p in the fi...

    Text Solution

    |

  7. Let f(x) be an decreasing function defined on (0,oo). If f(3a^2-4a+1)g...

    Text Solution

    |

  8. The curve y=ax^3+bx^2+cx+d cut y axis at (0.5) where gradient is 3 cur...

    Text Solution

    |

  9. If tangent at point P(a,b) to the curve x^3+y^3=c^3 meet the curve agi...

    Text Solution

    |

  10. Find the number of solutions of the equation x^3+2x^2+5x+2cosx=0 in [0...

    Text Solution

    |

  11. The maximum area of a rectangle that can be inscribed in a circle of r...

    Text Solution

    |

  12. If x+4y=14 is a normal to the curve y^2=ax^3 -betaat (2,3) then value ...

    Text Solution

    |

  13. If f(x) and g(x) are differentiable function for0lexle1such that f(0)=...

    Text Solution

    |

  14. If ax^2+b/xgecfor all positive x where agt0andbgtc show that 27ab^2ge4...

    Text Solution

    |

  15. find all the tangents to the curve y=cos(x+y),-2pilexle2pithat are par...

    Text Solution

    |

  16. Find the interval in which f(x)= 4x^3+3x^2+2x+1 is increasing.

    Text Solution

    |

  17. A cubic f(x) vanishes at x= -2 and has relative minimum and maximum a...

    Text Solution

    |

  18. Find the coordinates of the point on the curve y=x/(1+x^2)where the te...

    Text Solution

    |

  19. Find the number of points of maxima and minima of the function. f(x)=1...

    Text Solution

    |

  20. Find a point on the curve x^2+2y^2=6 whose distanced from the line x+y...

    Text Solution

    |