Stage 9 Lesson Hub

This Lesson uses the derivative to determine linear and quadratic approximations to complicated functions. We also examine a class of applied problems involved related variable quantities.

What's Here 1. Linear Approximation Linear Accuracy Feed the Tiger Quadratic Approximation One Step, Two Step, Three Step, More... 2. Related Rates References: The Field Guide to Functions.

What To Do This lesson is short and straightforward. There are no Recorded Activities, but this material will appear on the Final Exam. Develop your skill and understanding by going to the problem in the Practice area. Expected Study Time You should expect to spend approximately three hours working through this Lesson in order to prepare for the Practice area and "Onward and Upward" activities of this Stage. Objectives: Determine the linear and quadratic approximations to a function near a given point. Use these approximations to determine numerical estimates of function values. Solve related rate problems.