Home
Class 11
MATHS
The set of values 'x' for which f(x)=x^(...

The set of values 'x' for which `f(x)=x^(3)+6x^(2)+27x+10` is increasisng in

A

(1,2)

B

`(-oo,1)U(2,oo)`

C

`(-oo,oo)`

D

`(-oo,1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I) (LEVEL -II) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|16 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I) (LEVEL -II) (MATRIX MATCHING TYPE QUESTIONS |2 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -II) (INTEGER TYPE QUESTIONS)|3 Videos
  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos
  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

The set of values of a for which f(x)=x^(3)-ax^(2)+48x+1 is increasing for all real values of x is

f(x)=x^(3)+27x+5

The set of values of 'x' for which (tan3x-tan2x)/(1+tan3xtan2x)=1 is

Find the intervals in which the function f given by f (x) = 4x^(3) – 6x^(2) – 72x + 30 is (a) increasing (b) decreasing.

The set of values of x for which the function f(x) = log ( (x - 1)/(x + 2) ) is continous , is

The range of values of x for which, x^(2)+6x-27gt0, -x^(2)+3x+4 gt0 hold simultanceously is

AAKASH SERIES-MAXIMA AND MINIMA -PRACTICE SHEET (EXERCISE -I) (LEVEL -I) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. f(x)=(1)/(x-1) is decreasing in

    Text Solution

    |

  2. If y=8x^(3)-60x^(2)+144x+57 is a decreasing function in the interval (...

    Text Solution

    |

  3. The set of values 'x' for which f(x)=x^(3)+6x^(2)+27x+10 is increasisn...

    Text Solution

    |

  4. The set of values of a for which f(x)=x^(3)-ax^(2)+48x+1 is increasing...

    Text Solution

    |

  5. A stationary point of f(x)=sqrt(16-x^(2)) is

    Text Solution

    |

  6. I : The function f(x)=9x^(2)-15x-x^(3)+10 is increasing in (1,5) II...

    Text Solution

    |

  7. If ma and M respectively denote the minimum and maximum of f(x) =(x-1)...

    Text Solution

    |

  8. Assertion (A) : The maximum value of quadratic function -x^(2)+3x+1 i...

    Text Solution

    |

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

    Text Solution

    |

  10. If 15ltxlt30 then f(x)=|x-15|+|x-30| is

    Text Solution

    |

  11. If xgt0 then the interval of monotonically increasing of f(x)=2x^(2)-l...

    Text Solution

    |

  12. f(x)= In (lnx) is increasing in

    Text Solution

    |

  13. If x gt 0 , the maximum value of (log x) /x is

    Text Solution

    |

  14. f(x)=(logx)/(x)(xgt0) is increasing in

    Text Solution

    |

  15. f(x)=log(a)x(xgt0) is decreasing function if

    Text Solution

    |

  16. The function x+log((x)/(1+x)) is increasing when x belong to the inte...

    Text Solution

    |

  17. f(x)=log(1-x^(2)) is dereasing in

    Text Solution

    |

  18. f(x)=x.e^(-x) is decreasing in

    Text Solution

    |

  19. f(x)=2.e^(x^(2)-4x)) decreases in

    Text Solution

    |

  20. f(x)=x-e^(x) is increasing in

    Text Solution

    |