Recent content by CustardTheory

Ah ok. It finally clicked. I think my definition of concavity was just off. I thought it needed to be a full U shape to be counted as concave up or concave down. Am I correct in saying that this doesn't need to be the case?

Hi all, I understand that in the graph of f'(x), zeros and local extrema are local extrema and points of inflection, respectively, for f(x). The basic concept of checking direction and rough changes in slope to find concavity also makes sense to me. However, I'm having a bit of a mental...