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 transcript:

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 to p.193 #7)

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

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

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

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

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