Chapter 2 Problem Set
The following table gives air temperature, T (in degrees Fahrenheit), at various
altitudes, h (in thousands of feet).
Find the average rate of change in
Objective: Construct a box from a given piece of paper.
1. Take a card with a given dimension.
2. Cut squares with side length equal to that on your card from the four
corners of your paper.
3. Fold the 4 si
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/rewrite first. Do not use rules found in later sections.
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 ) =
2. f ( x) for f ( x ) =
a2 + z 2
6. f ( x) for f ( x ) = x cos
for y = ln(ln(2t 3 )
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 =
4 sin( x 3)
2. y = (4t 3) 8
3. f ( ) = + 2 tan 3
4. g ( z ) = 3 2 z 1
Algebra 2 / Trigonometry
Chapter 6.5 Outline
Compare Surveys, Experiments, and Observational Studies
Questions could be biased because