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The videos embedded below are provided to offer support for this course. They are in the following order.The Existence Theorems
- Intermediate Value Theorem
- Rolle's (not on the assignment) and Mean Value Theorems
Extrema on an Interval- Critical Numbers and Absolute Extrema
- Absolute Extrema Examples Part 1
- Absolute Extrema Examples Part 2
First Derivative Test- The First Derivative Test Graphically
- The First Derivative Test Analytically, Part 1
- The First Derivative Test Analytically, Part 2
Concavity, Points of Inflection, and the Second Derivative Test- Concavity and Points of Inflection Analytically, Example 1
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Concavity and Points of Inflection Analytically, Example 2
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Concavity and Points of Inflection Analytically, Example 3
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The Second Derivative Test
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The Second Derivative Test Numerically
The Existence TheoremsExtrema on an Interval
First Derivative TestConcavity, Points of Inflection, and the Second Derivative Test