We add another analytical tool to our toolbox of function graphing techniques – namely, the second derivative. This derivative tells us where a function is concave up (it holds water), or concave down (it protects from rainfall). It also locates points of inflection precisely. The phrase, “point of inflection” gets thrown around a lot by people who I guess are trying to sound smart, but it actually has a mathematical meaning: it is the exact point on a function’s graph where the function changes concavity.
If I’ve piqued your curiosity, then watch the thrilling video below!