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Math Help - Relative Extrema

  1. #1
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    Relative Extrema

    The class I am taking is called Brief Calculus - I am uncertain if this is the correct forum to post this question. I am certain someone will tell me if I'm in the wrong location. It is an online class and I cannot locate any help in either the textbook or none of the on-line examples are in this format. The first step in the problem is really where I am struggling. Any help would be appreciated

    Find the x-value of all points wher the function below has any relative extrema Find the value(s) of any relative extrema.

    G(x) = 6x + 7x^ 6/7
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  2. #2
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    Quote Originally Posted by yomath View Post
    The class I am taking is called Brief Calculus - I am uncertain if this is the correct forum to post this question. I am certain someone will tell me if I'm in the wrong location. It is an online class and I cannot locate any help in either the textbook or none of the on-line examples are in this format. The first step in the problem is really where I am struggling. Any help would be appreciated

    Find the x-value of all points wher the function below has any relative extrema Find the value(s) of any relative extrema.

    G(x) = 6x + 7x^ 6/7
    Relative extrema are also know as local extrema, and are roots of:

    G'(x)=0

    Not all of the roots of this are extrema, they may be points of inflection, if G''(x)>0 then you have a local/relative minimum and if G''(x)<0 you have a local/relative maximum, where x is a root of G(x). This is known as the second derivative test.

    All of this will be in your notes, text or online help somewhere.

    CB
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