Differentiation - Product Rule (and Quotient Rule)
Mathacy
37,408 views
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
Website: https://mathacy.com
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Differentiation - Product Rule (and Quotient Rule)
Mathacy
37,408 views
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
Website: https://mathacy.com