Rates of Change

The interactive below contains a series of videos of Sunil Chebolu, Mathematics Department, UWO.

See the matching Ontario Mathematics Curriculum expectations.

1. Consider the following:
   • Sketch the graph of a function like y = x^2 and then to graph its first and second derivatives on the same set of axes.
   • List as many relationships between these graphs as you can.
   • Do you think these relationships you noticed in the interactive above hold true for other types of graphs, like trigonometric, exponential, and rational functions. Test your theories by graphing y = sin x and its first and second derivatives on the same axes.