The product rule is one of the most useful tools for differentiating functions multiplied by other functions. This beautiful rule allows us to differentiate a practically infinite number of functions! We also take a deep dive into the quotient rule which allows us to find the derivative of functions divided by other functions! You don't wanna miss this!

Problem Sheet: https://mathacy.com/videos/differenti...

Timestamps:
0:00 Intro
0:40 The Product Rule
1:12 Examples
2:25 Product Rule in dash (Lagrange's) Notation
3:07 Extended Product Rule
4:36 Quotient Rule
5:55 Differentiating tan(x)
7:09 Proof of the Product Rule

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