The Second Derivative Test
The test
Why it works
Example 1: two critical points
Example 2: four critical points
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Example 3: exponential function
When the SDT is inconclusive
Comparing the two tests
SDT with given information
Justification template for AP FRQs
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