Finding Relative Maximum and Minimum
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)