Home
Class 12
MATHS
The function f(x)=[x(x-2)]^2 is increasi...

The function f(x)=`[x(x-2)]^2` is increasing in the set

A

`(-oo, 0) uu (2, oo)`

B

`(-oo, 1)`

C

`(0, 1) uu (2, oo)`

D

(1, 2)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos
  • APPLICATION OF DERIVATIVES

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos
  • APPLICATION OF INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT BUILDER|30 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=x^(2)+2x-5 is increasing in the interval

The function f(x) = x^2 is increasing in the interval

The function f(x)=log (1+x)-(2+x) is increasing in

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

The function f(x)=(x)/(x^(2)-1) increasing, if

The function f(x)=(9-x^(2))^(2) increases in

Is the function f(x)=x^(2), x in R increasing?

The function f(x)=log(1+x)-2*x/(2+x) is increasing on

DISHA PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE - 1
  1. Find the interval in which the function f(x) =cos^(-1) ((1-x^(2))/(1+x...

    Text Solution

    |

  2. If f(x)=xsqrt(ax-x^2) for a>0, then f(x) is

    Text Solution

    |

  3. The function f(x)=[x(x-2)]^2 is increasing in the set

    Text Solution

    |

  4. The function f(x)= tan x - x

    Text Solution

    |

  5. The function f(x)=x^(1//x) is increasing in the interval

    Text Solution

    |

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

    Text Solution

    |

  7. The function f(x)=(log(pi+x))/(log(e+x))s is

    Text Solution

    |

  8. If the function f(x)=2x^3-9a x^2+12 x^2x+1,w h e r ea >0, attains its ...

    Text Solution

    |

  9. The minimum value of the function, f(x)=x^(3//2)+x^(-3//2)-4(x+(1)/(...

    Text Solution

    |

  10. The minmumu value of the fucntion f(x)=a^2/x+b^2/(a-x),a gt 0, b g...

    Text Solution

    |

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

    Text Solution

    |

  12. Find the maximum and minimum values of f , if any, of the function gi...

    Text Solution

    |

  13. The function f(x) = 1 + x (sin x) [cos x], 0 lt x le (pi)/(2) (where [...

    Text Solution

    |

  14. Find two positive numbers x and y such that x+y=60\ a n d\ x^3y is max...

    Text Solution

    |

  15. Show that the right circular cylinder, open at the top, and of give...

    Text Solution

    |

  16. All possible value of f(x)=(x+1)^(1/3)-(x-1)^(1/3) on [0,1] is 1 (b) ...

    Text Solution

    |

  17. Let f(x) be a function defined as below : f(x)=sin(x^(2)-3x) ,x le...

    Text Solution

    |

  18. Tangents are drawn to x^2+y^2=16 from the point P(0, h)dot These tange...

    Text Solution

    |

  19. A cylindrical gas container is closed at the top and open at the ...

    Text Solution

    |

  20. Let f(x)=a/x+x^2dot If it has a maximum at x=-3, then find the value o...

    Text Solution

    |