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Convex analysis

bccalcclassact4aconcavity

Subject: 
Calculus
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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.

2008 AP MC

Subject: 
Calculus
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Tags: 
Mathematical analysis
Mathematics
Functions and mappings
Programmable calculators
Calculus
Convex analysis
Graphing calculator
derivative
Function
Taylor's theorem
Continuous function
Logarithm
behavior
Human development
Interpersonal relationships
Love
Psychoanalysis
Human behavior
Attachment theory
Evolutionary biology
Personal life
Technology

Section I The Calculus BC Exam AP Calculus BC Exam SECTION I: Multiple-Choice Questions At a Glance Total Time 1 hour, 45 minutes Number of Questions 45 Percent of Total Grade 50% Writing Instrument Pencil required Part A Number of Questions 28 Time 55 minutes Electronic Device None allowed Part B Number of Questions 17 Time 50 minutes Electronic Device Graphing calculator required Instructions Section I of this exam contains 45 multiple-choice questions and 4 survey questions. For Part A, fill in only the ovals for numbers 1 through 28 on page 2 of the answer sheet. For Part B, fill in only the ovals for numbers 76 through 92 on page 3 of the answer sheet. The survey questions are numbers 93 through 96.

New Work

Subject: 
Calculus
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0
No votes yet
Tags: 
Mathematical analysis
Convex analysis
Convex function
law

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