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Concavity and the Second- Derivative Test. 1. Determine the open intervals on which the graph of the function is concave upward or concave downward (similar.

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Presentation on theme: "Concavity and the Second- Derivative Test. 1. Determine the open intervals on which the graph of the function is concave upward or concave downward (similar."— Presentation transcript:

1 Concavity and the Second- Derivative Test

2 1. Determine the open intervals on which the graph of the function is concave upward or concave downward (similar to p.193 #7)

3 2. Determine the open intervals on which the graph of the function is concave upward or concave downward (similar to p.193 #10)

4 3. Discuss the concavity of the graph of the function and find the points of inflection (similar to p.193 #15)

5 4. Discuss the concavity of the graph of the function and find the points of inflection (similar to p.193 #15)

6 5. Discuss the concavity of the graph of the function and find the points of inflection

7 6. Find all relative extrema of the function. Use the second-derivative test when applicable (similar to p.193 #24)

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