Q1. Test the Function for relative maximum and minimum. Find the critical values. Use the 2nd derivative test if possible.
if follows that the critical values of g are x1= -7 and x2=-5.
* To find the critical numbers, I set g'(x) =0. This is where I think I went wrong.
First, I factored out a "6"
Then, I factored out a 3 and that's how I arrive on my answer of -7 and -5.
Q.2 (Related to Q1)
Since <-- My guess, we have that g"(x1)= ? greater or less than 0 and g"(x2) = ? greater or less than 0. (I need to find out values for x1 and x2)
Therefore, by the 2nd derivative test, there is a either a relative max or min when x=x1 and there is a relative max or min when x=x2. (Choose either or)