Throughout this module, if something does not exist, write DNE in the answer box.

Recap Video

Take a look at the following video which recaps the ideas from the section.

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Example Video

Below are two videos showing worked examples.

Problems

Here are the derivative rules you should know from the section:

If , find .
If , evaluate .
If , then
Use the product rule.
If , then
Suppose with and . Then .
We can use the product rule to differentiate . Doing so gives Now plug in .
Consider . How many points are there on the graph of where the tangent line is horizontal? .
Use the quotient rule to differentiate and simplify the derivative.
The only way for a fraction to equal is if the numerator equals .
List them in increasing order: