Math 1100: Quantitative Analysis
Fall 2013
Exam 2 Information
General Information:
• The test will be on Friday, November 1 during the regular class period.
• You will not be allowed to use a calculator.
• You must show your work. No credit will be given if no work is shown. Partial credit
will be given for partially correct solutions.
• The only thing you need to bring to class is a pen or pencil. Do not bring anything
else.
• We will spend Wednesday’s class reviewing. Part of this will be structured and part
will be answering your questions. You may either come to class with questions or email
them to me ahead of time (cobb@math.utah.edu).
• The test will cover chapters 10 and 11, both of which focus on applications of derivatives. A detailed list of topics is below.
• Seats will be assigned for the exam.
What To Study:
• The written homework is likely to be the best study guide.
• Section 10.1: Relative Maxima and Minima
– Find relative maxima, relative minima, and horizontal points of inflection of a
function using the first derivative test.
– Determine where a function is increasing and decreasing.
– Sketch graphs.
1
• Section 10.2: Concavity and Points of inflection
– Determine where a function is concave up and concave down.
– Use the second derivative test to find maxima and minima of a function.
– Find points of inflection of a function.
• Section 10.3: Optimization in Business and Economics
– Find the absolute maximum or minimum of a function on an interval.
– Maximize revenue and profit functions.
• Section 10.4: Applications of Maxima and Minima
– Solve word problems involving maxima and minima.
• Section 11.1: Derivatives of Logarithmic Functions
– Find derivatives of functions involving ln(x).
– Find derivatives of functions involving logarithms with other bases.
– Use properties of logarithms to simplify taking derivatives.
• Section 11.2: Derivatives of Exponential Functions
– Take derivatives of functions involving ex .
– Take derivatives of exponential functions with other bases.
• Section 11.3: Implicit Differentiation
– Use implicit differentiation to find derivatives for relations not defined explicitly.
– Find slopes of tangent lines using implicit differentiation.
• Section 11.4: Related Rates
– Use implicit differentiation to solve related rates problems.
2