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Unformatted text preview: Concavity Let f be differentiable on an open interval I . The graph of f is concave upward on I if f ’ is increasing on the interval and concave downward on I if f ’ is decreasing on the interval concave up concave down f ’ is increasing f ’ is decreasing Concavity Test Defn: Point of Inflection ® If the tangent line exists at a point which concavity changes, that point is an inflection point . point of inflection 2nd Derivative Test Joke Time ® What do clowns do after April 30th? ® Matrix ® What do you get when you add 50 female pigs and 50 male deer? ® $100,000 (100 sows ‘an bucks)...
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 Fall '08
 JARVIS
 Calculus, Derivative, Convex function, $100,000, Concave function, Defn

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