Home
Class 12
MATHS
Find the value of a for which the functi...

Find the value of `a` for which the function `(a+2)x^3-3a x^2+9a x-1` decreases montonically for all real `xdot`

A

`a lt -2 `

B

`a gt -2 `

C

`-3 lt a lt 0 `

D

`-oo lt a le -3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|18 Videos

  • INCREASING AND DECREASING FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|8 Videos

  • HEIGHTS AND DISTANCES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|45 Videos

  • INDEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

Find the values of a for which the function f(x)=(a+2)x^3-3a x^2+9a x-1 decreasing for all real values of xdot

Find the values ' a ' for which the function f(x)=(a+2)x^3-3a x^2+9a x-1 decreases for all real values of x .

Find the values of x for which the functions f(x)=3x^2-1 and g(x)=3+x are equal

Find the values of x for which the functions f(x)=3x^2-1 and g(x)=3+x are equal

Find the values of x for which the functions f(x)=3x^2-1 and g(x)=3+x are equal

Find the values of a for which the expression (ax^2+3x-4)/(3x-4x^2+a) assumes all real values for all real values of x

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

Find the values of a for which all the roots of the euation x^4-4x^3-8x^2+a=0 are real.

Find the values of a for which all the roots of the euation x^4-4x^3-8x^2+a=0 are real.

For what values of a , the function f(x)=((sqrt(a+4))/(1-a) -1)x^5-3x+"log"(5) decreases for all real xdot

OBJECTIVE RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTIONS-Exercise
  1. The function f(x)=(asinx+b cosx)/(c sinx+d cos x) is decreasing, if

    Text Solution

    |

  2. If f(x)=k x^3-9x^2+9x+3 monotonically increasing in R , then k<3 (b) ...

    Text Solution

    |

  3. Find the value of a for which the function (a+2)x^3-3a x^2+9a x-1 decr...

    Text Solution

    |

  4. The function y=x^3-3x^2+6x-17

    Text Solution

    |

  5. The interval in which the function x^3 increases less rapidly than 6x...

    Text Solution

    |

  6. The interval in which the function f(x)=sin x-cos x -ax +b decreases f...

    Text Solution

    |

  7. The function y=cot^(-1) x- log (x+sqrt(x^2+1)) is decreasing in

    Text Solution

    |

  8. the function(|x-1|)/(x^(2)) is monotonically decreasing at the point

    Text Solution

    |

  9. Find the value of a in order that f(x)=sqrt(3)sinx-cosx-2a x+b decreas...

    Text Solution

    |

  10. A function is matched below against an interval where it is supposed t...

    Text Solution

    |

  11. A condition for a function y=f(x) to have an inverse is that it should...

    Text Solution

    |

  12. Let g(x)=f(x)+f(1-x) and f''(x)<0, when x in (0,1). Then f(x) is

    Text Solution

    |

  13. The function f(x)=(ln(pi+x))/(ln(e+x)) is

    Text Solution

    |

  14. Column I, Column II int(e^(2x)-1)/(e^(2x)+1)dxi se q u a lto , p. x...

    Text Solution

    |

  15. y={x(x-3)^2 increases for all values of x lying in the interval

    Text Solution

    |

  16. If a lt 0 and f(x)=e^(ax )+ e^(-ax) is monotonically decreasing . F...

    Text Solution

    |

  17. The function f(x) = tanx - x

    Text Solution

    |

  18. The function f(x)=cot^(-1)x+x increases in the interval (a) (1,\ oo) ...

    Text Solution

    |

  19. The function f(x)=(log)e(x^3+sqrt(x^6+1)) is of the following types: (...

    Text Solution

    |

  20. Let f(x)=x^3-6x^2+15 x+3 . Then, (a) f(x)>0 for all x in R (b) f(x)>...

    Text Solution

    |