Hi,

I hope someone can provide some clarification on the following "algorithm":

I'm wondering whether this algorithm would be more correct had it included the use of the second derivative test in order to confirm whether the critical values are at a max or min? I see a lot of examples of these optimization problems, and the majority of them are solved with the use of the second derivative test. I'm curious whether the second derivative test is actually necessary or has it just been used to further confirm whatever finding's one made about the max or min? Based on this algorithm, it appears that the second derivative test isn't necessary. I hope someone can explain why.

- Olivia