Home
Class 12
MATHS
If f(x)=k x^3-9x^2+9x+3 monotonically in...

If `f(x)=k x^3-9x^2+9x+3` monotonically increasing in `R ,` then `k<3` (b) `klt=2` `kgeq3` (d) none of these

A

`K lt 3 `

B

`K gt 3 `

C

`k le 3 `

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
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

If f(x)=k x^3-9x^2+9x+3 monotonically increasing in R , then (a) k<3 (b) klt=2 (c) kgeq3 (d) none of these

If f(x)=k x^3-9x^2+9x+3 monotonically increasing in R , then (a) k<3 (b) klt=2 (c) kgeq3 (d) none of these

Let f(x) be and even function in R. If f(x) is monotonically increasing in [2, 6], then

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

Function f(x)=2x^3-9x^2+12 x+29 is monotonically decreasing when (a) x 2 (c) x >3 (d) x in (1,2)

If f(x)={{:(-e^(-x)+k,",",xle0),(e^(x)+1,",",0ltxlt1),(ex^(2)+lambda,",",xge1):} is one-one and monotonically increasing AA x in R , then

Function f(x)=x^3-27 x+5 is monotonically increasing when (a) x 3 (c) xlt=-3 (d) |x|geq3

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

if f(x) =2e^(x) -ae^(-x) +(2a +1) x-3 monotonically increases for AA x in R then the minimum value of 'a' is

Let set of all possible values of lamda such that f (x)= e ^(2x) - (lamda+1) e ^(x) +2x is monotonically increasing for AA x in R is (-oo, k]. Find the value of k.

OBJECTIVE RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTIONS-Exercise
  1. If the function f(x)=(Ksinx+2cosx)/(sinx+cosx) is strictly increasing ...

    Text Solution

    |

  2. The function f(x)=(asinx+b cosx)/(c sinx+d cos x) is decreasing, if

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |