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### The AP Calculus Test

Introduction to the course, about the test, test strategies

### AP Calculus Videos

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

Manual derivatives done using the definition

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