Home
Class 12
MATHS
Find the values of x for which y=[x(x-2)...

Find the values of x for which `y=[x(x-2)]^2`is an increasing function

Text Solution

Verified by Experts

The correct Answer is:
`x in (0,1) and x in (2, oo)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 6 (b) (Long Answer Type Questions (I))|30 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 6 (b) (Long Answer Type Questions (II))|1 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 6 (a) (Long Answer Type Questions (II))|1 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Find the value of x for which y=[x(x-2)]^(2) is an increasing function

Find the values of x if f(x)=(x)/(x^(2)+1) is an increasing function

Find the least value of k for which the function x^2+kx+1 is an increasing function in the interval 1 < x <2

Find the least value of k for which the function x^(2)+kx+1 is an increasing function in the interval 1

Find the least value of a' such that the function f(x)=x^(2)+ax+1 is increasing on [1,2]. Also find the greatest value of 'a' for which f(x) is decreasing on [1,2]

The set of values of x for which f(x)=3x^(4)-8x^(3)-6x^(2)+24x-12 is an increasing function is

The interval of x for which the function y=-x(x-2)^(2) increases is

Find the values of x such that f(x)=x^(3)+12x^(2)+36x+6 is an increasing function.

Deterine the values of 'x' for which the function f(x)=x^(2)+2x-3 is an increasing. Also, find the co - ordinates of the point on the curve y=x^(2)+2x-3 , where the normal is parallel to the line x-4y+7=0 .

Find the values of x for which the following function is defined: f(x)=sqrt((1)/(|x-2|-(x-2)))

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE 6 (b) (Short Answer Type Questions)
  1. Prove the following (i) f(x)=sinx is : (I) strictly increasing in ...

    Text Solution

    |

  2. Prove the following f(x)=tan^(-1)(sinx+cosx) is strictly decreasing ...

    Text Solution

    |

  3. Prove that the logarithmic function is strictly increasing on (0,oo).

    Text Solution

    |

  4. Prove that the function f given by f(x)" "=" "log" "s in" "x f(x)" "="...

    Text Solution

    |

  5. Prove that the function f given by f" "(x)" "=" "log" "cos" "x is stri...

    Text Solution

    |

  6. Show that the function f(x) = x3– 3x^2 + 6x – 100 is increasing on .

    Text Solution

    |

  7. Find the intervals in which the following functions are increasing : ...

    Text Solution

    |

  8. Find the interval in which 2x^(3)+9x^(2)+12x-1 is strictly increasing.

    Text Solution

    |

  9. Find the intervals in which the functions : (i) f(x)=x^(3)+2x^(2)-1 ...

    Text Solution

    |

  10. Prove that the function f(x)=x^2-x+1 is neither increasing nor decr...

    Text Solution

    |

  11. Find the values of 'a' for which the function : f(x)=x^(2)-2ax+6 is in...

    Text Solution

    |

  12. Find the values of 'a' for which f(x)=sinx-ax+b is decreasing function...

    Text Solution

    |

  13. Find the values of x for which y=[x(x-2)]^2is an increasing function

    Text Solution

    |

  14. Determine for which values of x, the following functions are increasin...

    Text Solution

    |

  15. Determine for which values of x, the following functions are increasin...

    Text Solution

    |

  16. Determine for which values of x, the following functions are increasin...

    Text Solution

    |

  17. Determine for which values of x, the following functions are increasin...

    Text Solution

    |

  18. Determine for which values of x, the following functions are increasin...

    Text Solution

    |

  19. For what values of 'x' are the following functions increasing or decre...

    Text Solution

    |

  20. For what values of 'x' are the following functions increasing or decre...

    Text Solution

    |