Results 1 to 2 of 2

Math Help - gradient function

  1. #1
    Newbie
    Joined
    Oct 2006
    Posts
    8

    gradient function

    can someone help with this question please

    "the gradient function of y=ax^2 + bx + c is 4x+2. The function has a minimum value of 1. Find the values of a, b and c"
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by 24680 View Post
    can someone help with this question please

    "the gradient function of y=ax^2 + bx + c is 4x+2. The function has a minimum value of 1. Find the values of a, b and c"
    The gradient function is the derivative of y, so

    dy/dx = 2 a x^2 + b = 4 x +2,

    so we have a=2, b=2.

    The minimum occurs where y'=4x+2=0, or where x=-1/2, and at -1/2

    y(-1/2) = 1 - 1 + c = c,

    but we are told that this minimum is 1, so c=1.

    RonL
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Gradient for the max function
    Posted in the Calculus Forum
    Replies: 3
    Last Post: October 9th 2009, 07:21 AM
  2. Rates and Gradient of a Function
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 10th 2008, 04:34 PM
  3. Gradient of function
    Posted in the Algebra Forum
    Replies: 1
    Last Post: April 29th 2008, 12:44 AM
  4. Need some help (gradient function?)
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: August 28th 2007, 11:24 PM
  5. Gradient of an Unknown Function!!!
    Posted in the Calculus Forum
    Replies: 16
    Last Post: August 1st 2006, 09:32 AM

Search Tags


/mathhelpforum @mathhelpforum