Chapter 2 Problem Set
1.
The following table gives air temperature, T (in degrees Fahrenheit), at various
altitudes, h (in thousands of feet).
h
T
0
59
a.
b.
2.
10
23.34
20
-24.62
30
-47.99
50
-69.70
3.4:
Optimization Problems
Activity
Objective: Construct a box from a given piece of paper.
Directions:
1. Take a card with a given dimension.
2. Cut squares with side length equal to that on your car
Some problems from Univ. of AZ Math 124/125
PRODUCT RULE AND QUOTIENT RULE
Differentiate. Use proper notation and simplify your final answers. In some cases it might be
advantageous to simplify/rewrit
MORE DERIVATIVE PRACTICE
Find the indicated derivative in each case. You should try to simplify your answers if you can.
1. f (t ) for f (t ) =
3.
2. f ( x) for f ( x ) =
e az
a2 + z 2
11.
1
tan(2 )
6
CHAIN RULE PRACTICE
Find the derivative of each function. Simplify your final answer. In some cases, it may be useful
to simplify/rewrite the function before differentiating.
1. y =
1
4 sin( x 3)
2. y