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Master AP Calculus AB

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81 skills · 3,865 questions
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81 core skills 100% total weight
01
Candidates Test
Lesson Flashcards Quiz
02
Concavity of Functions Over Their Domains
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03
Connecting a Function and Its Derivatives
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04
Determining Intervals on Increasing, Decreasing Functions
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05
Exploring Behaviors of Implicit Relations
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06
Extreme Value Theorem, Extrema, Critical Points
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07
First Derivative Test
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08
Introduction to Optimization Problems
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09
Mean Value Theorem
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10
Second Derivative Test
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11
Sketching Graphs of Functions and Derivatives
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12
Solving Optimization Problems
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13
Accumulation Functions, Definite Intervals, Applied Contexts
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14
Area Between Curves with Multiple Intersections
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15
Area Between Curves: Functions of x
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16
Area Between Curves: Functions of y
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17
Average Value of Functions on Intervals
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18
Disc Method: Revolving Around Other Axes
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19
Disc Method: Revolving Around x/y Axes
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20
Position, Velocity, and Acceleration Using Integrals
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21
Volumes with Cross Sections: Squares/Rectangles
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22
Volumes with Cross Sections: Triangles/Semicircles
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23
Washer Method: Revolving Around Other Axes
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24
Washer Method: Revolving Around x/y Axes
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25
Connecting Position, Velocity, and Acceleration
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26
Introduction to Related Rates
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27
L'Hospital's Rule
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28
Local Linearity and Linearization
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29
Meaning of the Derivative in Context
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30
Rates of Change in Applied Concepts
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31
Solving Related Rates Problems
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32
Exponential Models with Differential Equations
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33
Finding General Solutions: Separation of Variables
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34
Initial Conditions and Separation of Variables
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35
Modeling Situations with Differential Equations
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36
Reasoning Using Slope Fields
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37
Sketching Slope Fields
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38
Verifying Solutions for Differential Equations
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39
Calculating Higher-Order Derivatives
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40
Chain Rule
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41
Differentiating Inverse Functions
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42
Differentiating Inverse Trigonometric Functions
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43
Implicit Differentiation
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44
Selecting Procedures for Calculating Derivatives
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45
Applying the Power Rule
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46
Connecting Differentiability and Continuity
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47
Derivative Notation
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48
Derivative Rules of Constant, Sum, Difference
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49
Derivatives of Reciprocal Trig Functions
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50
Derivatives of Trigonometry and Logarithmic Functions
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51
Estimating Derivatives of a Function
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52
Rate of Change at a Point
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53
The Product Rule
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54
The Quotient Rule
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55
Applying Properties of Definite Integrals
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56
Approximating Areas With Riemann Sums
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57
Behavior of Accumulation Functions Involving Area
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58
Exploring Accumulations of Change
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59
Finding Antiderivatives and Indefinite Integrals
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60
Fundamental Theorem of Calculus: Accumulation Functions
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61
Fundamental Theorem of Calculus: Definite Intervals
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62
Integrating Using Substitution
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63
Integrating, Long Division, Completing the Square
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64
Riemann Sums and Notation
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65
Selecting Techniques for Antidifferentiation
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66
Algebraic Properties of Limits
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67
Confirming Continuity over an Interval
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68
Connecting Infinite Limits and Vertical Asymptotes
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69
Connecting Multiple Representations of Limits
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70
Defining Continuity at a Point
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71
Defining Limits and Using Limit Notation
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72
Determining Limits Using Algebraic Manipulation
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73
Determining Limits Using the Squeeze Theorem
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74
Estimating Limit Values from Graphs
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75
Estimating Limit Values from Tables
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76
Exploring Types of Discontinuities
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77
Introducing Calculus
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78
Limits at Infinity and Horizontal Asymptotes
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79
Removing Discontinuities
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80
Selecting Procedures for Determining Limits
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81
Working With the Intermediate Value Theorem
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