# AP Calculus AB Flashcards

## Tags: AP Calculus, AP Exams, Calculus, Entrance Exams, Mathematics

### Decks in this Class (169):

• An Introduction To Thinkwell Calculus 111
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• The Two Questions Of Calculus 112
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• Average Rates Of Change 113
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• How To Do Math 114
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• Functions 121
3 Cards
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• Graphing Lines 122
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• Parabolas 123
3 Cards
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• Some Non Euclidean Geometry 124
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• Finding Rate Of Change Over An Interval 2
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• Finding Limits Graphically 212
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• The Formal Definition Of A Limit 213
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• The Limit Laws Part I 214
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• The Limit Laws Part Ii 215
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• One Sided Limits 216
3 Cards
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• The Squeeze Theorem 217
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• Continuity And Discontinuity 218
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• Evaluating Limits 221
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• Limits And Intermediate Forms 222
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• Two Techniques For Evaluating Limits 223
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• On Overview Of Limits 224
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• Rates Of Change Secants And Tangents 311
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• Finding Instantaneous Velocity 312
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• The Derivative 313
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• Differentiability 314
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• The Slope Of A Tangent Line 321
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• Instantaneous Rate 322
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• The Equation Of A Tangent Line 323
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• More On Instantaneous Rate 324
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• The Derivative Of The Reciprocal Function
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• The Derivative Of The Square Root Functio
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• A Shortcut For Finding Derivatives 411
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• A Quick Proof Of The Power Rule 412
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• Uses Of The Power Rule 413
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• The Product Rule 421
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• The Quotient Rule 422
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• An Introduction To The Chain Rule 431
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• Using The Chain Rule 432
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• Combining Computational Techniques 433
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• A Review Of Trigonometry 511
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• Graphic Trigonometric Functions 512
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• The Derivatives Of Trigonometric Function
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• The Number Pi 514
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• Graphing Exponential Functions 521
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• Derivatives Of Exponential Functions 522
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• Evaluating Logarithmic Functions 531
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• The Derivative Of The Natural Log Functio
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• Using The Derivative Rules With Transcend
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• An Introduction To Implicit Differentiati
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• Finding The Derivative Implicitly 612
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• Using Implicit Differentiation 621
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• Applying Implicit Differentiation 622
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• The Exponential And Natural Log Functions
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• Differentiating Logarithmic Functions 632
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• Logarithmic Differentiation 633
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• The Basics Of Inverse Functions 634
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• Finding The Inverse Of A Function 635
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• Derivatives Of Inverse Functions 641
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• The Inverse Sine Cosine And Tangent Funct
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• The Inverse Secant Cosecant And Cotangent
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• Evaluating Inverse Trigonometric Function
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• Derivatives Of Inverse Trigonometric Func
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• Defining The Hyperbolic Functions 671
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• Hyperbolic Identities 672
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• Derivatives Of Hyperbolic Functions 673
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• Acceleration And The Derivative 711
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• Solving Word Problems Involving Distance
3 Cards
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• High Order Derivatives And Linear Approxi
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• Using The Tangent Line Approximation Form
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• Newton S Method 723
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• The Connection Between Slope And Optimiza
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• The Fence Problem 732
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• The Box Problem 733
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• The Can Problem 734
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• The Wire Cutting Problem 735
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• The Pebble Problem 741
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• The Baseball Problem 743
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• The Blimp Problem 744
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• Math Anxiety 745
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• An Introduction To Curve Sketching 811
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• Three Big Theorems 812
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• Morale Moment 813
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• Critical Points 821
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• Maximum And Minimum 822
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• Regions Where A Function Increases Or Dec
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• The First Derivative Test 824
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• Math Magic 825
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• Concavity And Inflection Points 831
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• Using The Second Derivative To Examine Co
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• The Mobius Band 834
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• Graphs Of Polynomial Functions 841
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• Cusp Points And The Derivative 842
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• Domain Restricted Functions And The Deriv
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• The Second Derivative Test 844
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• Vertical Asymptotes 851
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• Horizontal Asymptotes And Infinite Limits
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• Graphing Functions With Asymptotes 853
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• Functions With Asymptotes And Holes 854
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• Functions With Asymptotes And Critical Po
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• Antidifferentiation 911
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• Antiderivatives Of Powers Of X 912
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• Antiderivatives Of Trigonometric And Expo
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• Undoing The Chain Rule 921
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• Integrating Polynomials By Substitution 9
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• Integrating Composite Trigonometric Funct
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• Integrating Composite Exponential And Rat
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• More Integrating Trigonometric Functions
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• Choosing Effective Function Decomposition
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• Approximating Areas Of Plane Regions 941
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• Areas Riemann Sums And Definite Integrals
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• The Fundamental Theorem Of Calculus Part
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• The Fundamental Theorem Of Calculus Part
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• Illustrating The Fundamental Theorem Of C
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• Evaluating Definite Integrals 946
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• An Overview Of Trigonometric Substitution
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• Trigonometric Substitution Involving A De
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• Trigonometric Substitution Involving A De
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• Deriving The Trapezoidal Rule 961
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• An Example Of The Trapezoidal Rule 962
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• Antiderivatives And Motion 1011
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• Gravity And Vertical Motion 1012
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• Solving Vertical Motion Problems 1013
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• The Area Between Two Curves 1021
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• Limits Of Area And Integration 1022
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• Common Mistakes To Avoid When Finding Are
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• Regions Bound By Several Curves 1024
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• Finding Areas By Integrating With Respect
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• Finding Areas By Integrating With Respect
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• Area Integration By Substitution And Trig
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• Finding The Average Value Of A Function 1
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• Finding Volumes Using Cross Sectional Sli
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• An Example Of Finding Cross Sectional Vol
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• Solids Of Revolution 1061
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• The Disk Method Along The Y Axis 1062
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• A Transcendental Example Of The Disk Meth
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• The Washer Method Across The X Axis 1064
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• The Washer Method Across The Y Axis 1065
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• Introducing The Shell Method 1071
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• Why Shells Can Be Better Than Washers 107
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• The Shell Method Integrating With Respect
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• An Introduction To Work 1081
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• Calculating Work 1082
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• Hooke S Law 1083
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• Center Of Mass 1091
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• The Center Of Mass Of A Thin Plate 1092
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• An Introduction To Arc Length 10101
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• Finding Arc Lengths Of Curves Given By Fu
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• An Introduction To Differential Equations
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• Solving Separable Differential Equations
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• Finding A Particular Solution 1113
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• Direction Fields 1114
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• Euler S Method For Solving Differential E
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• Exponential Growth 1121
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• Logistic Growth 1122
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• Indeterminate Forms 1211
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• An Introduction To L Hopital S Rule 1212
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• Basic Uses Of L Hopital S Rule 1213
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• More Exotic Examples Of Indeterminate For
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• L Hopital S Rule And Indeterminate Produc
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• L Hopital S Rule And Indeterminate Differ
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• L Hopital S Rule And One To The Infinite
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• Another Example Of One To The Infinite Po
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• The First Type Of Improper Integral 1231
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• The Second Type Of Improper Integral 1232
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• Infinite Limits Of Integration Convergenc
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• An Introduction To Paradoxes 1311
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• Paradoxes And Air Safety 1312
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• A Glimpse Into Calculus Ii 1331
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