In this lecture you will cover Average and Instantaneous Rates of Change. Professor Switkes will walk you through concepts such as the Average Rate of Change, Instantaneous Rate of Change, Slope of the Secant Line, and Slope of the Tangent Line before delving into several examples.
Start by sketching
the function, and sketch the required secant lines or tangent lines.
The average rate
of change is a secant line slope.
rate of change is a tangent line slope.
rates of change can be found by either taking a limit of average
rates of change or by computing a derivative directly.
Average and Instantaneous Rates of Change
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.