Differentiation - Product Rule (and Quotient Rule)

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/differentiation-playlist 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 Website: https://mathacy.com