Lesson: Related Time Rates Mathematics • Higher Education

In this lesson, we will learn how to use derivatives to find the relation between the rates of two or more quantities in related rates problems.

Lesson Plan

Students will be able to

identify the given rate and the rate that we are trying to find in a related rates problem,
identify the relation between two variables that change per unit of time,
use the chain rule to link the related rates in a related rates problem,
find a missing rate to solve a related rate problem at a given instance.

Lesson Presentation

Lesson Video

Lesson Explainer

Sample Question Videos

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Lesson Worksheet

Q1:

If is the volume of a cube with edge length and the cube expands as time passes, give an expression for .

Q2:

A triangle with sides , , and contained angle has area . Suppose that , , and the angle is increasing at 0.6 rad/s. How fast is the area changing when ?

Q3:

Given that a rocket of mass 26 metric tons is burning fuel at a constant rate of 80 kg/s, find the mass of the rocket 25 seconds after take-off.