Math 205 Lecture 11 - Motion problems; The Product Rule and Quotient Rule

Welcome to lecture 11 of Math 205 - Elements of Calculus.

In tonight's lecture we start by reminding ourselves of the ever important rules of derivatives--the ones we know so far, and then jump into a word problem that we need to use the first and second derivative to solve--a motion problem. The problem here is one of free fall, a typical problem you would see in a physics 1 course the first week.

We then move on to some other important derivative rules: the product rule--which we use to differentiate products of functions, and the quotient rule--which we use to differentiate quotients (or divisions) of functions.

We derive the rules and then go through some examples and tips of when not to use them. It's sometimes as important to know when not to do something as when to do it.

In our next lecture, we will look at the chain rule.