Using the Second Derivative to Examine Concavity (8.3.2)

Question 1

• The second derivative can be used to determine where the graph of a function is concave up or concave down, and to find inflection points.

Answer 1

• The second derivative can be used to determine where the graph of a function is concave up or concave down, and to find inflection points.

Question 2

• Knowing the critical points, local extreme values, increasing and decreasing regions, the concavity, and the inflection points of a function enables you to sketch an accurate graph of that function.

Answer 2

• Knowing the critical points, local extreme values, increasing and decreasing regions, the concavity, and the inflection points of a function enables you to sketch an accurate graph of that function.