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:
`(2,oo)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise EXERCISE - 6.3|31 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise EXERCISE - 6.4|23 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 6 (SECTION - D)|2 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 intervals in which f(x)=(4x^(2)+1)/(x) is increasing or decreasing.

Find the values of x for which the functions f(x)= 3x^(2)-1 and g(x)= 3 + x are equal

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

The interval in which y= x^2 . e^(-x) is increasing is -----

Show that y=log(1+x)-(2x)/(2+x), x gt -1 , is an increasing function of x throughout its domain.

Find the values of x graphically which satisfy, -1le[x]-x^(2)+4le2 , where [.] denotes the greatest integer function.

The interval in which y = x ^(2) e ^(-x) is increasing is _____________.

f(x)= x^(3) + ax^(2) + bx + c is real valued function in which a, b and c are selected by tossing one baised dice twice. Then ......... is the probability for f(x) becomes an increasing function.

The values of a for which the function f(x)=sin x - ax + b increases on R are …………..

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -EXERCISE - 6.2
  1. Find the intervals in which the function f given by f(x)=2x^(2)-3x is ...

    Text Solution

    |

  2. Find the intervals in which function f given by f(x)=2x^(3)-3x^(2)-36x...

    Text Solution

    |

  3. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |

  4. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |

  5. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |

  6. Find the intervals in which the functions are strictly increasing or ...

    Text Solution

    |

  7. Find the intervals in which the functions are strictly increasing or ...

    Text Solution

    |

  8. Show that y=log(1+x)-(2x)/(2+x), x gt -1, is an increasing function of...

    Text Solution

    |

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

    Text Solution

    |

  10. Prove that y=(4sin theta)/((2+cos theta))-theta is an increasing funct...

    Text Solution

    |

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

    Text Solution

    |

  12. Prove that the function f given by f(x) = x ^(2) – x + 1 is neither st...

    Text Solution

    |

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

    Text Solution

    |

  14. On which of the following intervals is the function f given by f(x) = ...

    Text Solution

    |

  15. Find the least value of a such that the function given by f(x)=x^(2)+a...

    Text Solution

    |

  16. Let I be any interval disjoint from [-1,1]. Prove that the function f ...

    Text Solution

    |

  17. Prove that the function f given by f(x) = log sin x is increasing on (...

    Text Solution

    |

  18. Prove that the function f given by f (x) = log |cos x| is decreasing o...

    Text Solution

    |

  19. Prove that the function given by f(x)=x^(3)-3x^(2)+3x-100 is increasin...

    Text Solution

    |

  20. The interval in which y= x^2 . e^(-x) is increasing is -----

    Text Solution

    |