Home
Class 12
MATHS
The interval on which the function f(x)=...

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

A

`[-1,oo]`

B

`[-2,-1]`

C

`(-oo,-2]`

D

`[-1,1]`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (FILLERS)|5 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 6 (SECTION - A)|5 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)|10 Videos

  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-C)|10 Videos

  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -D)|2 Videos

Similar Questions

Explore conceptually related problems

Find the interval in which the function f(x)=x^(4)+32x is increasing or decreasing. x in R

Find the value of a for which the function f(x)=ax^(3)-3(a+2)x^(2)+9(a+2)x-1 is decreasing.

The function f(x)=2x^(3)-3x^(2)-12x+4 , has …………

Find the intervals in which the function f given by f(x)=2x^(2)-3x is (a) incresing (b) decreasing

Find the intervals in which the function f given by f(x)=x^(2)-4x+6 is (a) Increasing (b) Decreasing

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

Find the intervals in which the function f given f(x)=x^(3)+(1)/(x^(3)), x ne 0 is (i) increasing (ii) decreasing.

Find the intervals in which function f given by f(x)=2x^(3)-3x^(2)-36x+7 is (a) increasing (b) decreasing

Show that f(x)=x^(3)-6x^(2)+12x-18 is an increasing function on R.

On which of the following intervals is the function f given by f(x) = x^(100) + sin x –1 decreasing ?

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (OBJECTIVE TYPE TYPE QUESTIONS)
  1. If y=x^(4)-10 and if x change from 2 to 1.99, what is the change in y ...

    Text Solution

    |

  2. The equation of tangent to the curve y(1+x^(2))=2-x, where it crosses ...

    Text Solution

    |

  3. The points at which the tangents to the curve y=x^(3)-12x+18 are paral...

    Text Solution

    |

  4. The tangent to the curve y=e^(2x) at the point (0, 1) meets X-axis at ...

    Text Solution

    |

  5. The slope of tangent to the curve x=t^(2)+3t-8, y=2t^(2)-2t-5 at the p...

    Text Solution

    |

  6. The two curve x^(3)-3xy^(2)+2=0 and 3x^(2)y-y^(3)-2=0 intersect at an ...

    Text Solution

    |

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

    Text Solution

    |

  8. Let the f : R to R be defined by f(x)=2x+cos x, then f …………….

    Text Solution

    |

  9. y=x(x-3)^(2) decreases for the values of x given by …………..

    Text Solution

    |

  10. The function f(x)=4 sin^(3)x-6 sin^(2)x+12 sin x + 100 is strictly ………...

    Text Solution

    |

  11. Which of the following functions is decreasing on (0, (pi)/(2)).

    Text Solution

    |

  12. The function f (x) = tan x-x ………..

    Text Solution

    |

  13. If x is real, the minimum value of x^(2)-8x+17 is …………. (Where x in R)

    Text Solution

    |

  14. The smallest value of the polynomial x^(3)-18x^(2)+96x in [0, 9] is ……...

    Text Solution

    |

  15. The function f(x)=2x^(3)-3x^(2)-12x+4, has …………

    Text Solution

    |

  16. The maximum value of sin x.cos x is ………….

    Text Solution

    |

  17. At x=(5pi)/(6), f(x)=2 sin 3x + 3 cos (3x) is ……………

    Text Solution

    |

  18. Maximum slope of the curve y=-x^(3)+3x^(2)+9x-27 is ………….

    Text Solution

    |

  19. f(x)=x^(x) has a stationary point at ……………

    Text Solution

    |

  20. The maximum value of f(x)=((1)/(x))^(x) is …………

    Text Solution

    |