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Antiderivative

bccalcclassact3bextremapt2mvt

Subject: 
Calculus
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Functions and mappings
Mean value theorem
Graph of a function
Antiderivative
Pathwidth

Name:________________________ Date:________________________ AP Calculus BC Class Activity 3b: Extrema Part 2 A point moves along the line so that its position can be found by the function Find the velocity and speed functions. Find and verify where the particle changes direction. At what position is the point furthest to the left? For what interval(s) is the point moving to the left? Given the graph below for , sketch a possible graph for : Given the graph below for , sketch a possible graph for : Given the graph below for , sketch a possible graph for : Given the following graph for : Find the local maximums and local minimums for . Find where the function is increasing and decreasing.

ap calculus

Subject: 
Calculus
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Functions and mappings
Differential calculus
rates
derivative
Mathematical analysis
integral
Differentiation rules
Antiderivative
Critical point
Limit of a function
Mean value theorem
Newton's method

Rahn ? 2008 AP Calculus ? Final Review Sheet When you see the words ?. This is what you think of doing 1. Find the zeros of a function. Set the function equal to zero and solve for x. 2. Find equation of the line tangent to f(x) at (a,f(a)). Find f ?(x),the derivative of f(x). Evaluate f ?(a). Use the point and the slope to write the equation: y= f ?(a)(x-a)+f(a) 3. Find equation of the line normal to f(x) at (a,f(a)). Find f ?(x),the derivative of f(x). Evaluate f ?(a). The slope of the normal line is 1 '( )f a ? . Use the point and the slope to write the equation: ( ) ( ) ( ) 1 y x a f a f ? a = ? + 4. Show that f(x) is even. Evaluate f at x = -a and x = a and show they are equal.

2008 AP mc

Subject: 
Calculus
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Mathematical analysis
Mathematics
Calculus
Integral calculus
Functions and mappings
Antiderivative
integral
Taylor's theorem
Logarithm
Continuous function
derivative
Mean value theorem
education
behavior
Attachment theory
Medicine
Personal life
Technology

The questions contained in this AP? Calculus BC Practice Exam are written to the content specifications of AP Exams for this subject. Taking this practice exam should provide students with an idea of their general areas of strengths and weaknesses in preparing for the actual AP Exam. Because this AP Calculus BC Practice Exam has never been administered as an operational AP Exam, statistical data are not available for calculating potential raw scores or conversions into AP grades. This AP Calculus BC Practice Exam is provided by the College Board for AP Exam preparation. Teachers are permitted to download the materials and make copies to use with their students in a classroom setting

AP Calc AB 2004 Scoring Guidelines (Form B)

Subject: 
Calculus
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Mathematical analysis
Mathematics
Functions and mappings
Integral calculus
Analytic geometry
Differential geometry
Elementary geometry
Tangent
integral
Calculus
Mean value theorem
Antiderivative
education

AP? Calculus AB 2004 Scoring Guidelines Form B The College Board is a not-for-profit membership association whose mission is to connect students to college success and opportunity. Founded in 1900, the association is composed of more than 4,500 schools, colleges, universities, and other educational organizations. Each year, the College Board serves over three million students and their parents, 23,000 high schools, and 3,500 colleges through major programs and services in college admissions, guidance, assessment, financial aid, enrollment, and teaching and learning. Among its best-known programs are the SAT?, the PSAT/NMSQT?, and the Advanced Placement Program? (AP?). The College Board is committed to the principles of

AP Calculus Cheat Sheet

Subject: 
Calculus
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Calculus
Mathematical analysis
Mathematics
Integral calculus
Differentiation rules
Integration by parts
Differential equation
derivative
Quotient Rule
Integration by substitution
Antiderivative
Product rule

Calculus Cheat Sheet Visit http://tutorial.math.lamar.edu for a complete set of Calculus notes. ? 2005 Paul Dawkins Limits Definitions Precise Definition : We say ( )limx a f x L? = if for every 0e > there is a 0d > such that whenever 0 x a d< - < then ( )f x L e- < . ?Working? Definition : We say ( )limx a f x L? = if we can make ( )f x as close to L as we want by taking x sufficiently close to a (on either side of a) without letting x a= . Right hand limit : ( )limx a f x L+? = . This has the same definition as the limit except it requires x a> . Left hand limit : ( )limx a f x L-? = . This has the same definition as the limit except it requires x a< . Limit at Infinity : We say ( )limx f x L?? = if we
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