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Limits and Continuity
$200The value that f(x) approaches as x nears a specific point.
$400A type of discontinuity where the limit exists but the function value at that point is different or undefined.
$600A theorem stating that if f(x) is between g(x) and h(x) near a point, the limit of f(x) must match the limit of g(x) and h(x).
$800The property that a function is continuous on [a,b] if it can be drawn without lifting a pencil.
$1000The form 0/0 or infinity/infinity that requires L'Hopital's Rule.
Derivatives
$200The fundamental definition of the derivative involves the limit of this fraction.
$400This rule is used to differentiate functions like x squared times e to the x.
$600The derivative of natural log of x.
$800The name of the rule used when differentiating composite functions.
$1000This specific derivative process is used for equations like x squared plus y squared equals 25.
Integrals
$200The process of finding the area under a curve.
$400The theorem that links differential and integral calculus.
$600The constant added when calculating indefinite integrals.
$800A technique used for integrals involving the product of two functions.
$1000Approximating an integral by using trapezoids instead of rectangles.
Applications of Derivatives
$200Where the derivative equals zero, potentially indicating a peak or valley.
$400The slope of the line tangent to the graph at a given point.
$600The test used to determine if a critical point is a local maximum or minimum.
$800A point where the concavity changes.
$1000The rate at which distance changes with respect to time.
Series and Sequences
$200A sequence where each term is found by adding a constant.
$400A series where the absolute value of the ratio between terms is less than one.
$600The test that compares a series to 1 over n to the p.
$800A power series representation of a function centered at zero.
$1000The test used to find the radius of convergence for power series.
Parametric/Polar/Vector
$200Functions defined by x(t) and y(t).
$400The coordinate system using r and theta.
$600The formula for the area of a polar region involves this trigonometric integral component.
$800The rate of change of a vector function dy/dx is dy/dt divided by this.
$1000The total distance traveled by a particle along a path.