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bccalcclassact4aconcavity

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Subject: 
Calculus
Rating: 
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Tags: 
Differential calculus
Functions and mappings
Convex analysis
Mathematical analysis
Curves
Inflection point
Second derivative
Derivative test
Concave function
Critical point
derivative
Calculus

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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