# 3.2 Notes - Concavity 1 When the 2 nd derivative is...

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Survey of Calculus – Section 3.2 – Graphing using the 1 st and 2 nd Derivatives Recall: Use the 1 st derivative to determine: 1) where a function is increasing/decreasing. 2) the critical points. 3) the relative extrema using the 1 st derivative test. Now we will use the 2 nd derivative to determine: 1) where the function is concave up/concave down. 2) the inflection points. (An inflection point is a point where the concavity changes.)

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Unformatted text preview: Concavity 1) When the 2 nd derivative is positive , the curve is concave up (holds water). 2) When the 2 nd derivative is negative , the curve is concave down . 3) When the 2 nd derivative is zero or undefined, you have a possible inflection point. The concavity must change for you to have an actual inflection point. Now we will use the steps on p. 210 to graph. #12 #22 #34 (if time)...
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3.2 Notes - Concavity 1 When the 2 nd derivative is...

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