Lesson: The Product Rule Mathematics • Higher Education

In this lesson, we will learn how to find the derivative of a function using the product rule.

Lesson Plan

Students will be able to

understand the concepts behind the derivation of the product rule (although recalling the derivation is not required),
use the product rule of differentiation to find the derivative, , where is a product of two functions,
use the product rule of differentiation to evaluate the derivative of a function at a point, , where is a product of two functions,
understand how to generalize the product rule to find the derivative of the product of three (or more) functions.

Q1:

Consider the functions , .

Find and .

Find .

Given that , find its derivative.

Q2:

Find at when .

Q3:

Complete the following: .