### AP Calculus AB

#### The AP Calculus Test

###### About the Course & AP Exam Strategies

Introduction to the course, about the test, test strategies

#### AP Calculus Videos

###### AP Tricks, Part 1

Test strategies, limit problems, function values from derivative graphs, inverses of derivatives

###### Derivatives from the Definition

Manual derivatives done using the definition

###### Limits

Manual limits, disguised derivative problems, L'H pital's Rule

###### Chain, Product & Quotient Rules

Product rule, chain rule, product-chain rule combinations, quotient rule

###### Tangent Lines and Optimization

Equations of tangent lines, optimization problems

###### Function Graphs

Concavity, Absolute and Relative Min/Max, Increasing/Decreasing functions

###### Implicit Differentiation

Implicit differentiation, second implicit derivatives

###### Related Rates Problems

Sphere, conical reservoir, pythagorean, trigonometric problems

###### Graphs from Data Charts

Inferring graph details from a data chart, producing a graph from a data chart

###### Riemann Sums and The Trapezoidal Rule

Left and right Riemann Sums, Trapezoidal Sums, Inferring integrals from Trapezoidal sums

###### Integration: Substitution Method

Integration by substitution, change of variables

###### AP Tricks, Part 2

Differential Equations, Rate Integration Problems, Mean Value Theorem

###### Area Between Curves

Area between two curves, area between intersecting curves, curves that intersect at more than one point

###### Velocity, Acceleration and Distance

Velocity, acceleration, integrals and position, integrals and distance

###### Function and Derivative Graphs

Converting function graphs to derivatives, converting derivative graphs to functions, integrals and area

###### Volume - Cross-sections

Volumes with square cross-sections, rectangular cross-sections, semi-circular cross sections

###### Volume - Disc Method

Volumes of rotation around x-axis, around y-axis, washers, rotation around other axes

###### AP Tricks, Part 3

More average value, continuity and limits

###### AP Tricks, Part 4

Functions of integrals, average rates of change

###### AP Tricks, Part 5

Differentiating with Tables, Slope Fields, First and Second Fundamental Theorems

#### AP Calculus Review

###### Synthesizer: Test Analysis

Analyze AP test problems to guide studying

###### Synthesizer: Study Plan

Learn how to prioritize studying by reviewing your old tests