Quiz Solutions: 3.1

1. The author offers two different ``interpretations'' of the derivative. What are they?

2. In this section we speak of the derivative of f at a point (x=2, say). What conditions must exist in order for the derivative of f to exist at x=2?

For part 2, I wish that the student had mentioned the limit referred to: make sure that I know what you're talking about! What I especially liked about this response was the notion that the graph of f at (or around) x=2 has to be smooth.