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Sec 3.4: Concavity and the Second Derivative Test

Sec 3.4: Concavity and the Second Derivative Test. Determine intervals on which a function is concave upward or concave downward. Find any points of inflection of the graph of a function. Apply the Second Derivative Test to find relative extrema of a function. Definition of Concavity.

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Sec 3.4: Concavity and the Second Derivative Test

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  1. Sec 3.4: Concavity and the Second Derivative Test Determine intervals on which a function is concave upward or concave downward. Find any points of inflection of the graph of a function. Apply the Second Derivative Test to find relative extrema of a function.

  2. Definition of Concavity

  3. Ex01: Determining Concavity

  4. Ex02: Determining Concavity

  5. Points of Inflection

  6. Ex03: Finding Points of Inflection Determine the points of inflection and discuss the concavity of the graph of

  7. Ex04: Using the Second Derivative Test Find the relative extrema for

  8. 3.4 Problem Set A • 1, 4, 7 • 10, 13, 16, 19 • 25, 27 • 30, 33, 36, 39

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