What's an example of a short problem where either the first or second derivative test can be applied but the first derivative test is easier? What's an example of a short problem where the second derivative test is easier?

Answer 1

The best first place to try on general questions like this is google.
You will find many examples, illustrations, discussions, and videos.

Answer 2

I don't know how to tell if the first derivative test is easier or the second is easier...how would you figure that out?