The Product Rule with Examples and Proof! (And Animated!)

#calculus #productrule #derivatives #mathanimation #differentiation_by_product_rule


▬ Contents of this video ▬▬▬▬▬▬▬▬▬▬

0:00 - Intro
1:30 - Example 1
3:52 - Example 2
6:26 - Common Mistakes
9:57 - Example 3 (with table)
12:14 - Example 4 (between a constant and function)
14:39 - Example 5 (Triple Product Rule Example)
17:10 - Proof of Product Rule

In this video we go over everything that student might need to know for the product rule in Calculus. We walk through several examples, we review common mistakes while applying the product rule, and we prove the product rule at the end of the video. Examples include those with a table, a product between a constant times a function, and a triple product. Derivatives taken involve the power rule, as long as trigonometric and logarithmic derivatives.