Unformatted text preview: I , it is called concave downward on I . Concavity Test: If f(x) &gt; 0 for all x in I , then the graph of f is concave upward on I . If f(x) &lt; 0 for all x in I , then the graph of f is concave downward on I. Definition: A point P on a curve y = f(x) is called an inflection point if f is continuous there and the curve changes from concave upward to concave downward or from concave downward to concave upward at P . The Second Derivative Test: Suppose f is continuous near c . If f(c) = 0 and f(x) &gt; 0, then f has a local minimum at c. If f(c) = 0 and f(x) &lt; 0, then f has a local maximum at c. Try exercises 2, 6, 10, 20, 36, 46, 50 on pp. 295296 in your text....
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 Spring '11
 Teague
 Calculus, Derivative, Mathematical analysis

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