You will be able to derive and use the Product and Quotient Rules
It would foolish to think that we could take the derivative of a product of two functions by just taking the product of the derivatives. Otherwise, why would we have an entire lesson devoted to it? Duration: 3:55
In this video, we use calculus to see what happens when twins date another set of twins. Also, you've been multiplying by a Fancy One for ages. Now let's start adding a Fancy Zero. Duration: 12:20
(Because one proof sometimes is just not enough.) Duration: 6:58
After revisiting the Warm-Up question in the context of our newly minted Product Rule, let's find the nth derivative of a product of two functions. Duration: 8:10
The Product Rule and be tedious to apply with numerous opportunities for mistakes along the way. Example 4 demonstrates that we can occasionally rewrite our function to avoid using the Product Rule altogether. We'll also introduce our first instance of a fancy factoring technique. Duration: 8:39