Extreme Value Theorem and Critical Points
Extreme Value Theorem (EVT)
Why both conditions matter
Types of extrema
Critical points
Why critical points matter
Finding critical points
Example 1: polynomial
Example 2: rational exponent
Example 3: absolute value
Critical points that are NOT extrema
Classifying critical points (preview)
Number of critical points
AP exam tips
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Vocabulary
Unit 5 topics
Unit 5 overview15.1 Using the Mean Value Theorem25.2 Extreme Value Theorem and Critical Points35.3 Determining Intervals of Increasing and Decreasing45.4 Using the First Derivative Test55.5 Using the Candidates Test for Absolute Extrema65.6 Determining Concavity and Points of Inflection75.7 Using the Second Derivative Test85.8 Sketching Curves of Functions and Their Derivatives95.9 Connecting f, f', and f''105.10 Solving Optimization Problems