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S = contains supplemental resources
Course: Calculus I
Topic: Derivatives
Subtopic: Related Rate Applications

Overview

Related rate applications occur then the rates of two or more things are being compared in relation to one another. For example, if two vehicles traveling perpendicularly are approaching an intersection, they of course have rates of approach toward the intersection, but at what rate are they approaching each other?

Objectives

By the end of this topic you should know and be prepared to be tested on:

• 2.12.1 Recognize a real-life situation as a related rate application
• 2.12.2 When setting-up a related rate problem, know to which variable you should differentiate with respect to
• 2.12.3 When setting-up a related rate problem, establish which rates are given and which rate is to be found
• 2.12.4 Translate a related rate application problem into a differential equation
• 2.12.5 Solve a related rate application problem using proper mathematical notation and format
• 2.12.6 Understand classic calculus related rate problems including those that use similar triangles to set-up the differential equation(s).
• 2.12.7 Demonstrate an understanding of the connections between the equations, process, and graphical representations in a related rate application problem.

Terminology

Define: related rates, differentiating with respect to time

Supplemental Resources (optional)