Points where f"(x)=0 or f"(x) is undefined. Spread the word!
Tuesday, December 25, 2012
Another Hergert Numbers Christmas
Just when you thought we had exhausted all possible Hergert Numbers photo items, we present the Hergert Numbers Rubik's Cube. Yes, each side has a different picture of someone (not all me) in their Hergert Numbers shirt. As if solving one of these things isn't hard enough, you first have to figure out what side the square you're looking at even belongs on! This is sure to provide hours of enjoyment.
In the summer of 1994, I was teaching Calculus for the first time. When we got to the applications of derivatives, we talked about critical numbers being the potential relative extrema and identified them as points where f'(x)=0 or f'(x) is undefined. In the very next section, we came across possible inflection points that consisted of points where f"(x)=0 or f"(x) is undefined. I was surprised to see that there was no name for these points. So, I began calling them Hergert Numbers. In the years that followed, I taught the course many, many times. Each semester I would refer to these points as the Hergert Numbers, yet the term just didn't seem to be catching on - until now.
Help spread the word!
If you would like your own Hergert Numbers t-shirt, email me at Rodger (at) hergertnumbers (dot) org and I'll hook you up. Once you have your shirt, get your picture taken in an interesting place or with an interesting person and I'll add you to the page.