# Thread: Relative Extrema

1. ## 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

2. ## Re: Relative Extrema

The critical point c is the x where G' is 0. Once you've got that point, evaluate G' for some a < c and some b > c, where a and b are close to c (preferably 1 unit away). If G'(a) - G'(b) > 0 then G'(c) is a relative maximum and if G'(a) - G'(b) < 0 then G'(c) is a relative minimum. Generally, you are given an interval in extremum problems.

Source:

Finding Relative Extrema — MATH201 (TC3, Brown)
Calculus (Johnston and Mathews)