# Tangent Lines

Second in the Graphing Calculator/Technology series This graphing calculator activity is a way to introduce the idea if the slope of the tangent line as the limit of the slope of a secant line. In it, students will write the equation of a secant line through two very close points. They will then compare their…

# Concepts Related to Graphs

This and the next several posts will be about graphing and specifically how the function and its first and second derivatives are related. Since I do not intend this to be a textbook I will not be doing textbook stuff. Rather, I hope to add some big picture things on the concepts involved. Hope you find it…

# Local Linearity II

Using Local Linearity to introduce difference quotient and the derivative. A good way to introduce difference quotients and derivatives is to write the equation of the “line” you see when you zoom-in on a locally linear function. First: Ask your class to use their calculator or computer grapher to graph a function, say y =…