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bccalcclassact4aconcavity

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Calculus [1]
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Differential calculus [2]
Functions and mappings [3]
Convex analysis [4]
Mathematical analysis [5]
Curves [6]
Inflection point [7]
Second derivative [8]
Derivative test [9]
Concave function [10]
Critical point [11]
derivative [12]
Calculus [13]

Name:________________________ Date:________________________ AP Calculus BC Class Activity 4a: Concavity For the function , find and show where it is concave up on [0, 2?]. Find and show the points of inflection for the function . Find and show the points of inflection for the function . Given the function : Find the critical points for p (x), i.e. the candidates for local maximums and minimums. Use the second derivative test to show which points are maximums and which are minimums. Given the following graph for : Notate the intervals where f (x) is concave up. Notate the intervals where f (x) is concave down. Notate the points of inflection. Given the following graph for : Notate theintervals where g (x) is concave up.

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