Home
Class 12
MATHS
If f(x)= kx^3-9x^2+9x+3 is increasing on...

If `f(x)= kx^3-9x^2+9x+3` is increasing on R then

A

`kgt3`

B

`klt3`

C

`kle3`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|161 Videos

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos

  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

Find the values of k for which f(x)=kx^(3)-9kx^(2)+9x+3 is increasing on R .

If the function f(x)=x^(3)-9kx^(2)+27x+30 is increasing on R, then (a)-1 1(c)^(@)0

f(x)=x^(3)-9x^(2)+36x+2 is increasing in

f(x)=x^(3)-9x^(2)-21x+18 is increasing in

The function f(x)=2x^3+9x^2+12x+20 is increasing in the interval

The function f(x) = x^(3) - 6x^(2) +9x + 3 is decreasing for

Find the intervals in which f(x)=2x^(3)-9x^(2)+12x-5 is increasing or decreasing.

Find the intervals in which f(x)=-2x^(3)-9x^(2)-12x+1 is increasing or decreasing.

Find the intervals in which f(x)=x^(3)-6x^(2)+9x+15 is increasing or decreasing.

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-CRITICAL THINKING
  1. The set of all points for which f(x)=x^(2)e^(-x) stricltly increasing ...

    Text Solution

    |

  2. If a<0, the function f(x)=e^(ax)+e^(-ax) is a monotonically decreasing...

    Text Solution

    |

  3. If f(x)= kx^3-9x^2+9x+3 is increasing on R then

    Text Solution

    |

  4. The function f(x)=(lambdasinx+2cosx)/(sinx+cosx) is increasing, if (a)...

    Text Solution

    |

  5. The function which is neither decreasing nor increasing in (pi/2,(3pi)...

    Text Solution

    |

  6. The function f(x)= x +1/x (x != 0) is a non-increasing function in the...

    Text Solution

    |

  7. The function (x-2)/(x+1),(x ne -1) is increasing on the interval

    Text Solution

    |

  8. The function sinx-bx+c will be increasing in the interval (-infty,inft...

    Text Solution

    |

  9. Find the intervals in which the function f(x)=x^4-(x^3)/3 is increasin...

    Text Solution

    |

  10. f(x)=2x^3-15 x^2+36 x+5 is decreasing in

    Text Solution

    |

  11. Which of the following is correct statement for the functio f(x)=sin2x...

    Text Solution

    |

  12. The function f(x)=x+cos x is

    Text Solution

    |

  13. the function f(x)=logx/x is increasing in the interval

    Text Solution

    |

  14. The function f(x)=1-e^(-x^2/2) is

    Text Solution

    |

  15. If f(x)=(a sin x+b cosx)/(c sinx+dcosx) is decreasing for all x, then

    Text Solution

    |

  16. It is given that at x=1 , the function x^4-62 x^2+a x+9 attains its ma...

    Text Solution

    |

  17. The minimum value of (x-alpha)(x-beta) is

    Text Solution

    |

  18. For the curve y=x e^x , the point

    Text Solution

    |

  19. If f(x)=x^5-5x^4+5x^3-10 has local maximum and minimum at x = p and x ...

    Text Solution

    |

  20. The function y=alogx+b x^2+x has extreme values at x=1 and x=2 . Find ...

    Text Solution

    |