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.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PSEB|Exercise Exercise|189 Videos

  • APPLICATION OF INTEGRALS

    PSEB|Exercise Exercise|38 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    PSEB|Exercise Exercise|151 Videos

Similar Questions

Explore conceptually related problems

Find the values of 'x' for which f(x) = [x(x-2)]^2 is an increasing function. Also find the points on the curtve, where the tangent is parallel to x-axis.

Determine the values of x for which the function 2x^3 - 24x + 5 is increasing or decreasing.

Find the values of x for which the function f(x) = x^2 - 6x + 9 is increasing or decreasing.

Find the values of 'a for which the function : f(x) = x^2 - 2ax + 6 is increasing when x > 0

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

Find the interval in which function f(x)=x^(2)+2x-7 is increasing.

Find the interval in which function 'f(x)=x^2+2x-7' is increasing.

Find the intervals in which the function f(X) = (x-1)^3(x-2)^2 is increasing or decreasing.

PSEB-APPLICATION OF DERIVATIVES-Exercise
  1. Find the intervals in which the following functions are strictly decre...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. Prove that the logarithmic function is increasing on (0,∞).

    Text Solution

    |

  6. Prove that the function f given by f(x) = x^2-x+1 is neither strictly ...

    Text Solution

    |

  7. Which of the following functions are strictly decreasing on ( 0, pi/2 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Prove that the function f given by f(x) = log sinx, is increasing on (...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. The interval in which y = x^2 e^-x is increasing is:

    Text Solution

    |

  15. Find the slope of the tangent to the curve y = 3x^4-4x at x= 4

    Text Solution

    |

  16. Find the slope of the tangent to the curve y = (x-1)/(x-2) at x = 10.

    Text Solution

    |

  17. Find the slope of the tangent to curve y = x^3-x+1 at the point whose ...

    Text Solution

    |

  18. Find the slope of the tangent to the curve y = x^3-3x+2 at the point w...

    Text Solution

    |

  19. Find the slope of the normal to the curve x = a cos^3 theta, y = a sin...

    Text Solution

    |

  20. Find the slope of the normal to the curve x = 1 - a sin theta, y = b c...

    Text Solution

    |