Note: This is a partial list of problems that will give you an idea of the types of problems that will be on the exam. These problems are not to be handed in. It is not a comprehensive list. Most of the topics that will be on the exam are covered in this list of problems. As you are working through them, make sure you understand the concepts involved in the problems. For example, if you are trying to find a local maximum or minimum using the first derivative test, make sure you understand why this test works. If you have any questions, please let me know.
The problems in parantheses are additional practice problems.
Rules for Finding Derivatives, Sections 2.3-2.5
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Section 2.3, Problems 15,25,39, (1,9,19,27,33)
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Section 2.4, Problems 1,3,5,7,11,17
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Section 2.5, Problems 3,9,11,13,47,49 (51-57 (odd))
Higher Order Derivatives
Implicit Differentiation and Related Rates
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Section 2.7, Problems 1,5,11,15,19,23 (3,13,25)
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Section 2.8, Problems 1,2,4 (see also examples 1-4 in Section 2.8)
Maxima/Minima on Closed Intervals
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Section 3.1, Problems 5,7,11,17
Increasing/Decreasing and Concave Up/Concave Down
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Section 3.2, Problems 3,5,11,13,19 (9)
Local Max/Min on Open Intervals
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Section 3.3, Problems 1,3,11,17 (7,23)
Practical Problems and Graphing
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Section 3.4, Problems 1,9,11,13,15
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Section 3.5, Problems 1,9,17
Mean Value Theorem for Derivatives (Memorize!)
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Section 3.6, Concepts Review Numbers 1 and 2
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Section 3.6, Problems 3,5,9,17 (HW9 problems)