The value that a function or expression approaches as the domain variable(s) approach a specific value.

A major theorem of calculus that relates values of a function to a value of its derivative. Essentially the theorem states that for a "nice" function, there is a tangent line parallel to any secant line.

A method for determining whether a critical point is a relative minimum or maximum.

The theorem that establishes the connection between derivatives, antiderivatives, and definite integrals. The fundamental theorem of calculus is typically given in two parts.

A point (x, y) on the graph of a function at which the derivative is either 0 or undefined.

A theorem which guarantees the existence of an absolute max and an absolute min for any continuous function over a closed interval.

A curve that is smooth and contains no discontinuities or cusps.

A theorem verifying that the graph of a continuous function is connected.

A point at which a curve changes from concave up to concave down, or vice-versa.

A theorem of calculus that ensures the existence of a critical point between any two points on a "nice" function that have the same y-value.