Section 3.3: Concavity and the Second Derivative Test
Key Concepts:
Concavity and Inflection Point
Lessons for Section 3.3:
Concavity and Inflection Points
1. What is Concavity and How Does it Relate to Inflection Points?
1. What is Concavity and How Does it Relate to Inflection Points?
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Note: There is one more inflection point at x = 10.
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2. Finding Inflection Points (Be sure to check the change in concavity for the inflection points)
3. Determining Intervals of Concavity and Points of Inflection
3. Determining Intervals of Concavity and Points of Inflection
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Concavity and the Second Derivative Test
1. The Second Derivative Test
2. Concavity and the Second Derivative Test
3. The Second Derivative Test and Its Application to Determining Relative Extrema of a Function
4. Determining Relative Extrema Using the Second Derivative Test (Example)
5. More on Determining Relative Extrema Using the Second Derivative Test
5. More on Determining Relative Extrema Using the Second Derivative Test
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6. Sketching a Function Given Its Concavity
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Assigned Practices:
- eBook: Read p. 167 to 173
- eBook: Do exercises on p. 173 #1 to 9
- eBook: In-Class exercises p. 174 #10 to 13