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Unformatted text preview: Chapter 4 – List of Topics and Sections 4.1 – Related Rates 4.2 – Maximum and Minimum Problems ; absolute versus local extrema The Extreme Value Theorem (p.271) Fermat’s Theorem (p.272) Definition of a critical number Method of finding extrema on a closed interval 4.3 – Derivatives and the shapes of curves Increasing / Decreasing The First Derivative Test ( test if a critical number is a local max/ local min) The Second Derivative Test ( test if a critical number is a local max / local min) Concavity Inflections Points Review asymptotes from chapter 2 section 5 Also review finding the domain of a function 4.5 – L’hopital’s rule for certain limits that are indeterminate 4.6 – Optimization Problems (uses all the techniques learned in 4.2 and 4.3) 4.8 – Newton’s Method ( we may put this off until after test #3 if you have enough questions for class time) “Teacher Advice on Studying” Rework examples from class that we’ve done, rework examples that are in the text sections, rework webassigns that you’ve done, work h/w text problems that are like the...
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This note was uploaded on 04/03/2008 for the course MA 141 taught by Professor Wears during the Spring '07 term at N.C. State.
- Spring '07