# Final 2-8.doc - 2 Please be sure to show enough of your...

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2 Please be sure to show enough of your process to let the grader know how you reached your answer.Question 1a) (4 points) State a formal definition of the derivative.b) (2 points) If xdenotes time (in number of seconds since observations began) and f(x) gives the distance of an object from its starting point, which part of the definition represents an average speed?c) (2 points) If xdenotes time (in number of seconds since observations began) and f(x) gives the distance in meters of an object from its starting point, what does f ′(x) represent? In what units would you measure?
d) (2 points) Suppose you start a trip with a full tank of gas. If xdenotes the number of gallons of gasoline you’ve used at a given point on the trip, and f(x) gives the distance in miles you have driven when you’ve used xgallons, what does f ′(x) represent? In what units would you measure?xfPage 1 of 8
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