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

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:
0 `lt x lt 1` and `x gt 2`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT TELUGU|Exercise EXERCISE 6.3|31 Videos

  • APPLICATION OF DERIVATIVES

    NCERT TELUGU|Exercise EXERCISE 6.4|23 Videos

  • APPLICATION OF DERIVATIVES

    NCERT TELUGU|Exercise EXERCISE 6.1|18 Videos

  • APPLICATION OF INTEGRALS

    NCERT TELUGU|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find the value of xy+y^2x if x=1, y=0

Find the values of a if f(x) = 2x^(x) - a e^(-x) + (2a +1) x-3 is increasing for all values of x.

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

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

Find the value of x^2-y+2 if x=0 and y=-1

Find the value of: x^2+y , For x=-1 and y=1 .

Find the value of: xy+y^2x , for x=-1 and y=1

Find the intervals in which the function f given by f(x) = 2x^(2) – 3x is (a) increasing (b) decreasing

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. If f(x)=log (1+x)-(2x)/(2+x) is increasing , then………..

    Text Solution

    |

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

    Text Solution

    |

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

    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 are decreasing on 0,(pi)/(2) ?

    Text Solution

    |

  14. On which the following intervals in the function x^(100)+sinx-1 decre...

    Text Solution

    |

  15. For what values of a the function f given by f(x) = x^2 +ax + 1 is inc...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |