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.

*My solution:*

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)**

TIA