Home
Class 12
MATHS
If f(x)=x^3+4x^2+lambdax+1 is a monotoni...

If `f(x)=x^3+4x^2+lambdax+1` is a monotonically decreasing function of `x` in the largest possible interval `(-2,-2/3)dot` Then (a)`lambda=4` (b) `lambda=2` `lambda=-1` (d) `lambda` has no real value

A

`lambda=4`

B

`lambda=2 `

C

`lambda=-1`

D

`lambda` has no real value

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment SECTION-C( Objective Type Questions ( More than one option are correct ))|1 Videos
  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment SECTION-C( Objective Type Questions ( More than one option is correct ))|5 Videos
  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment SECTION-A (Competition Level Questions)|50 Videos
  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos

Similar Questions

Explore conceptually related problems

If f(x)=x^3+4x^2+lambdax+1 is a monotonically decreasing function of x in the largest possible interval (-2,-2/3)dot Then (a ) lambda=4 (b) lambda=2 (c) lambda=-1 (d) lambda has no real value

If f(x)=x^3+4x^2+lambdax+1 is a monotonically decreasing function of x in the largest possible interval (-2,-2/3)dot Then lambda=4 (b) lambda=2 lambda=-1 (d) lambda has no real value

If f(x)=x^3+4x^2+ax+5 is a monotonically decreasing function of x in the largest possible interval (-2,-2//3), then the value of a is

If f(x)=2x^3+9x^2+lambdax+20 is a decreasing function fo x in the largest possible interval (-2,-1) then lambda =

Function f(x)=cosx-2\ lambda\ x is monotonic decreasing when (a) lambda>1//2 (b) lambda 2

If A satisfies the equation x^3-5x^2+4x+lambda=0 , then A^(-1) exists if (a) lambda!=1 (b) lambda!=2 (c) lambda!=-1 (d) lambda!=0

If the equation x^(3)-6x^(2)+9x+lambda=0 has exactly one root in (1, 3), then lambda belongs to the interval

If ( lambda^(2) + lambda - 2)x^(2)+(lambda+2)x lt 1 for all x in R , then lambda belongs to the interval :

Of f(x)=2/(sqrt(3))tan^(-1)((2x+1)/(sqrt(3)))-log(x^2+x+1)(lambda^2-5lambda+3)x+10 is a decreasing function for all x in R , find the permissible values of lambdadot

Of f(x)=2/(sqrt(3))tan^(-1)((2x+1)/(sqrt(3)))-log(x^2+x+1)(lambda^2-5lambda+3)x+10 is a decreasing function for all x in R , find the permissible values of lambdadot

AAKASH INSTITUTE ENGLISH-APPLICATION OF DERIVATIVES-Assignment SECTION-B( Objective Type Questions ( One option is correct ))
  1. The slope of the tangent to the curve x=t^2+3t-8,\ \ y=2t^2-2t-5 at ...

    Text Solution

    |

  2. The point(s) on the curve y^3+\ 3x^2=12 y where the tangent is ver...

    Text Solution

    |

  3. If f(x)=x^3+4x^2+lambdax+1 is a monotonically decreasing function of x...

    Text Solution

    |

  4. If a function f(x) increases in the interval (a, b). then the function...

    Text Solution

    |

  5. The function f, defined by f(x)=(x^(2))/(2) +In x - 2 cos x increas...

    Text Solution

    |

  6. If f(x)=x.e^(x(1-x), then f(x) is

    Text Solution

    |

  7. Which of the following is correct ?

    Text Solution

    |

  8. Find the value of a, if the equation x-sinx=a has a unique root ...

    Text Solution

    |

  9. Number of real roots of the equation e^(x-1)-x=0 is

    Text Solution

    |

  10. If f(x)=x/(sinx) \ a n d \ g(x)=x/(tanx),w h e r e \ 0ltxlt=1, then in...

    Text Solution

    |

  11. If f(x)=(p^2-1)/(p^2+1) x^3-3x + log 2 is a decreasing function of x.i...

    Text Solution

    |

  12. Let f(x)=(x-a)^2+(x-b)^2+(x-c)^2dot Then, f(x) has a minimum at x= (a...

    Text Solution

    |

  13. The maximum value of ((1)/(x))^(2x^(2)) is

    Text Solution

    |

  14. If f(x)=alog|x|+b x^2+x has extreme values at x=-1 a n d a t x=2, then...

    Text Solution

    |

  15. If x in [-1,1] then the minimum value of f(x)=x^(2)+x+1 is

    Text Solution

    |

  16. If ax+(b)/(x) ge c, AA a gt 0 and a,b,c are positive constant then

    Text Solution

    |

  17. The number which exceeds its square by the greatest possible quanti...

    Text Solution

    |

  18. The point (0,3) is nearest to the curve x^(2)=2y at

    Text Solution

    |

  19. Let f(x) be a function defined as follows: f(x)=sin(x^2-3x),xlt=0; a n...

    Text Solution

    |

  20. If lambda, mu are real numbers such that , x^(3)-lambdax^(2)+mux-6=0 h...

    Text Solution

    |