Sec 3.4: Concavity and the Second Derivative Test

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Presentation transcript:

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

Ex01: Determining Concavity

Ex02: Determining Concavity

Points of Inflection

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

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

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