Math 1100
Quiz 5
31 August, 2011
Name:
Instructions: Answer the questions below. Make sure to show all work clearly.
1. Let f (x) = 2x2 + 1 Find the following:
(a) (2 points) Find f 0 (x).
(b) (2 points) Find the instantaneous rate of change of the function at x = 2. How is
this related to your answer to part (a)?
(c) (2 points) Suppose f (x) represents the position of a car. What is the velocity of
the car at time x = 2? How is this related to your answer to part (b)?
(d) (2 points) Find the slope of the line tangent to the graph of f (x) at x = 2. How is
this related to your answer to part (b)?
(e) (2 points) Find the equation of the line tangent to the function at the point (2, 9).