Standards
The following are taken from the Academic Standards for Mathematics approved by the Pennslyvania Department of Education.

Problem Solving and Communication
2.5.11.A. Select and use appropriate mathematical concepts and techniquesfrom different areas of mathematics and apply them to solving non-routine and multi-step problems.
2.5.11.B. Use symbols, mathematical terminology, standard notation, mathematical rules, graphing and other types of mathematical representations to communicate observations, predictions, concepts, procedures, generalizations, ideas and results.
2.5.11.C. Present mathematical procedures and results clearly, systematically, succinctly and correctly.
2.5.11.D. Conclude a solution process with a summary of results and evaluate the degree to which the results obtained represent an acceptable response to the initial problem and why the reasoning is valid.
Concepts of Calculus
2.11.11.A. Determine maximum and minimum values of a function over a specified interval.
2.11.11.B. Interpret maximum and minimum values in problem situations.