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MTH 131 Z –Fall ’10
Exam 2 – Review Sheet
This is a basic summary of the concepts and procedures you need to know for the exam.
You will need to know the differentiation rules (like product rule, quotient rule and chain rule etc) for
most of the exam. This now includes those for exponential functions and natural logarithms.
Implicit Differentiation & Related rates
Concavity and Points of Inflection
Procedure for determining intervals of concavity
Procedure for finding inflection points
Behavior of a graph at an inflection point
The Second Derivative Test (for relative extrema)
Curve Sketching
Determine the domain.
Determine any intercepts.
Locate asymptotes (horizontal and vertical).
Find critical numbers/critical points
Determine Intervals of increase/decrease and locate relative extrema.
Determine Intervals of concavity and locate inflection points.
Relative Extrema

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