Here are the main points that will be addressed in the videos. Please read these and think about them as you watch.
- The slope of a line secant to a graph of a function is equal to the average rate of change of with respect to over the interval of -values at which the secant line intersects the graph of the function.
- The slope of the line tangent to the graph of a function is equal to the value of the derivative at the point of tangency.
- The slope of the line tangent to a function represents the number of times (which does not need to be a whole number) that is larger than , where and represent infinitesimal changes of and respectively.