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Introduction to the course, about the test, test strategies
Test strategies, limit problems, function values from derivative graphs, inverses of derivatives
Manual derivatives done using the definition
Manual limits, disguised derivative problems, L'Hôpital's Rule
Product rule, chain rule, product-chain rule combinations, quotient rule
Equations of tangent lines, optimization problems
Concavity, Absolute and Relative Min/Max, Increasing/Decreasing functions
Implicit differentiation, second implicit derivatives
Sphere, conical reservoir, pythagorean, trigonometric problems
Inferring graph details from a data chart, producing a graph from a data chart
Left and right Riemann Sums, Trapezoidal Sums, Inferring integrals from Trapezoidal sums
Integration by substitution, change of variables
Differential Equations, Rate Integration Problems, Mean Value Theorem
Area between two curves, area between intersecting curves, curves that intersect at more than one point
Velocity, acceleration, integrals and position, integrals and distance
Converting function graphs to derivatives, converting derivative graphs to functions, integrals and area
Volumes with square cross-sections, rectangular cross-sections, semi-circular cross sections
Volumes of rotation around x-axis, around y-axis, washers, rotation around other axes
More average value, continuity and limits
Functions of integrals, average rates of change
Differentiating with Tables, Slope Fields, First and Second Fundamental Theorems
Analyze AP test problems to guide studying
Learn how to prioritize studying by reviewing your old tests
Free Response Preparation, Free Response Practice
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