A function made up of the ratio of two functions f(x) and g(x).

An approximation method for estimating the area under a curve and used to approximate the solution to a definite integral.

As a function f(x) approaches a specific input value a, for x-values greater than or equal to a, the function may approach a specific limiting value.

For function f(x) along an interval [a, b], if f(a) = f(b), then there is a point along the interval where the derivative is zero.

For differentiable function f(x), the second derivative is the derivative of f'(x) and denoted as f''(x).

A special type of differential equation in which functions f(x) and g(y) can be separated to find the solution to the equation.

The Greek letter used for summarizing terms of a finite or infinite sequence.

A discontinuous function whose graph looks like a staircase. A step function can be generated by ceiling or floor functions.

For differentiable functions f(x) and g(x) along a given interval, the derivative of the sum f(x) + g(x) is the sum of the individual derivatives f'(x) and g'(x).

A line that intersects a curve at a single point and is perpendicular to the curve at that point.

A technique for approximating a definite integral by adding the areas of trapezoids underneath a curve.

Equations that involve trigonmetric functions and are often used to simplify certain trigonometric expressions.

One of six main functions, including sine, cosine, tangent, secant, cosecant, and cotangent.

A quantity that has magnitude and direction. Vectors are often used to model real-world phenomena such as force, speed, or acceleration.

The first derivative, with respect to time, for the displacement function. Velocity is a vector quantity.

A vertical line that the graph of a function approaches but does not intersect. The equation of a vertical asymptote is x = c, for some constant c.

Where the graph of a function intersects the x-axis. The solutions to the equation f(x) = 0 for some function f(x).

This is a collection of definitions related to exponential concepts.