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5-30.

Mr. Lyon is trying to locate the points of inflection for . Since no value of exists such that , he assumes there is no change in concavity. Andrew says that a point of inflection exists where the second derivative changes sign. Who is correct and why? Use the second derivative and the graph of to verify your answer. Homework Help ✎

CANDIDATES for points of inflection can be found where  and where DNE. You must check both.

Notice that there is not a concavity change at the cusp.