1. Identify the expression that can be used to find the
equation for the slope of the graph of the function
at a
given x-value.
[A] 
[B] 
[C] 
[D] 
[E] None of these
2. Find
[A] 
[B] 
[C] 
[D] 
[E] None of these
3. From 1991 through 1998, the annual revenue per share R (in dollars) for a company traded on Wall Street can be modeled by
where
represents
the year 1991. At what rate was the company’s revenue per share changing in
1995?
[A] $6.33 per year
[B] $0.63 per year
[C] $0.61 per year
[D] $0.06 per year
[E] None of these
4. Find the average rate of change of
on the
interval
[A] 
[B] 
[C] 
[D] 
[E] None of these
Find the derivative of the function (do not simplify).
5. 
[A] 
[B] 
[C] 
[D] 
[E] None of these
Find the derivative of the function (do not simplify).
6. 
[A] 
[B] 
[C] 
[D] 
[E] None of these
7. The temperature T of some food, once it is put into a refrigerator, is modeled by
where t is the time (in
hours). Find the rate at which the food is cooling when
[A] 
[B] 
[C] 
[D] 
[E] None of these
8. Use the General Power Rule to find the derivative of the function.
[A] 
[B] 
[C] 
[D] 
[E] None of these
9. Find the derivative of the function.
[A] 
[B] 
[C] 
[D] 
[E] None of these
10. An initial deposit of $800 is made to start an account with an annual interest rate of r% (in decimal form) compounded monthly. At the end of 3 years, the balance is
Find the rate of change of A with respect to r
when
[A] $33.03 per 1%
[B] $36.33 per 1%
[C] $31.56 per 1%
[D] $33.08 per 1%
[E] None of these
11. Find the derivative of the function.
[A] 
[B] 
[C] 
[D] 
[E] None of these
12. Find the second derivative of the function.
[A] 
[B] 
[C] 
[D] 
[E] None of these
13. Determine the intervals on which the function is increasing or decreasing.
[A] 
[B] 
[C] 
[D] 
[E] None of these
14. The height s at time t for an arrow shot upward from a height of 32 feet is
where s is in feet and t is to the nearest hundredth of a second.
Find the time interval on which the arrow is falling.
[A] 
[B] 
[C] 
[D] 
[E] None of these
15. Find the absolute extrema of the function on the closed interval.
on
[A] 
[B] 
[C] 
[D] 
[E] None of these
16. A retailer has determined the cost C for purchasing and warehousing x units of a product to be
The delivery truck can bring at most 130 units per shipment. Find the order size that will minimize the cost.
[A] 65 units
[B] 70 units
[C] 68 units
[D] 77 units
[E] None of these
17. Find the intervals on which the graph of
is
concave upward and those on which it is concave downward.
[A] 
[B] 
[C] 
[D] 
[E] None of these
18. Find all relative extrema of the function.
[A] 
[B] 
[C] 
[D] The function has no relative extrema.
[E] None of these
19. A parts assembler works the
At what time is the worker assembling parts at the greatest rate?
[A]
[B]
[C]
[D] 5:
[E] None of these
20. In marketing a certain item, a business has discovered that
the demand for the item is represented by
The cost
of producing x items is given by
Find the
price per unit that yields a maximum profit.
[A] $0.94
[B] $0.61
[C] $0.80
[D] $0.75
[E] None of these