Question 1
What does the derivative of a function at a point most directly represent?
Question 2
Which expression gives the derivative of $f$ at $x=a$ using the limit definition?
Question 3
If the graph of $f$ is smooth near $x=2$, which statement best describes how to estimate $f'(2)$ from a graph?
Question 4
A function is differentiable at a point only if it is also what at that point?
Question 5
If $f'(3)=0$, what does this tell you about the graph of $f$ at $x=3$?