Section 3.2: Maxima and Minima
Key Concepts:
Prior Knowledge:
- Relative vs. Absolute Maxima and Minima
- Relative Extrema, Absolute Extrema and Inflection Points
- Local (Relative) vs. Global (Absolute) Maxima and Minima
Lessons for Section 3.2:
Extrema of a Function
- What are Maxima and Minima (Extrema)? (Important explanation for conceptual understanding)
- What are Maxima and Minima (Extrema)? (Important explanation for conceptual understanding)
The First Derivative Test and Its Applications to Determining Extrema of a Function
1. The First Derivative Test
2. Determining Relative Extrema Using the First Derivative Test
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3. More on Determining Relative Extrema Using the First Derivative Test (Polynomial Function)
4. More on Determining Relative Extrema Using the First Derivative Test (Radical Function)
5. Determining Absolute Extrema on Closed and Open Intervals
4. More on Determining Relative Extrema Using the First Derivative Test (Radical Function)
5. Determining Absolute Extrema on Closed and Open Intervals
Absolute Extrema on an Closed Interval
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Absolute Extrema on an Open Interval
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6. Problem Solving with Maxima and Minima (Detailed explanation with examples - Example 2: Word Problem)
Assigned Practices:
- eBook: Read p. 160 to 163
- eBook: Do exercises on p. 163 #1 to 7, #10 to 11
- eBook: In-Class exercises p. 164 #12 to 13, #15