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Sec 3.4: Concavity and the Second Derivative Test

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Presentation on theme: "Sec 3.4: Concavity and the Second Derivative Test"— Presentation transcript:

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

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6 Ex01: Determining Concavity

7 Ex02: Determining Concavity

8 Points of Inflection

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

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11 Ex04: Using the Second Derivative Test
Find the relative extrema for

12 3.4 Problem Set A 1, 4, 7 10, 13, 16, 19 25, 27 30, 33, 36, 39


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