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# answers to math - Chapter 4 List of Topics and Sections 4.1...

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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

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