(https://youtu.be/_Ei4ZXxaMDY) Longer Updated Version
Sketching the Derivative of a Function - In this video, I sketch the derivative of two different functions. That is, I give the graph of y = f(x), and do a rough sketch of the graph f ' (x).
To begin, I often try to look for places where the derivative is undefined (cusps on f(x) ) or where the tangent line would have a slope of zero.