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Comprehensive Calculus Review for Poker Quiz: Critical Numbers and Theorems

This review covers essential calculus concepts, including finding critical numbers, using differentials for approximations, and identifying global maxima. Additionally, it verifies the conditions for Rolle's Theorem and the Mean Value Theorem, providing the necessary values that satisfy these theorems. The review also includes techniques for determining when functions are increasing or decreasing and how to locate relative extrema. Perfect for students preparing for a quiz, this guide delivers insights into core calculus principles applied to varied problems.

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Comprehensive Calculus Review for Poker Quiz: Critical Numbers and Theorems

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  1. Calculus Poker Review for Quiz 3.10-4.3

  2. Question 1 • Find the critical numbers of

  3. Question 2 • Use differentials to approximate

  4. Question 3 • Find the absolute (global) max of

  5. Question 4 • Verify that the following satisfies Rolle’s Theorem and then find the values that satisfy Rolle’s Theorem.

  6. Question 5 • Verify that the following satisfies The Mean Value Theorem and then find the values that satisfy MVT.

  7. Question 6 • Find when the following function is increasing or decreasing and find the relative (local) extrema.

  8. Question 7

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