In the process of integration, it is the function that is being integrated.

Replacing the integrand with a simpler expression to make the process of integration easier.

For continuous function f(x) along interval [a, b] there are values between f(a) and f(b).

For function f(x), the inverse function f-1(x), if it exists, undoes the mapping of the original function.

For function f(x)/g(x), where f(x) and g(x) are two functions, along an interval [a, b], if there is a point c in the interval such that g(x) = 0, then L'Hopital'

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

As a function f(x) approaches a specific input value a, the function may approach a specific limiting value. This limit may or may not exist.

Finding the limiting value for function f(x) as the input value x approaches infinity. This limit may or may not exist.

For differentiable function f(x), the linear approximation at x = a, for some real number a, is the equation of the line tangent to f(x) at a.

When a function takes an input value, a, for some region in the domain, such that f(a) ≥ f(x), for all x in that region.

When a function takes an input value, a, for some region in the domain, such that f(a) ≤ f(x), for all x in that region.

A vector quantity can be represented by a matrix.

For differentiable function f(x) along the closed interval [a, b] there is a value c within that interval such that f'(c) is parallel to the secant formed by th

A slanted line that the graph of a function approaches but does not intersect.

A function whose graph has point symmetry about the origin.

Restricting the limit of a function for values approaching the limiting value from one side.

A set of equations where each variable, x and y, is a function of a third variable, t. Graphs of parametric equations are sometimes not functions.

A function made up of separate functions, each with its own interval.

A function with a single term that consists of a variable base raised to a real number power. The variable can also have a real number coefficient.

The process of finding the derivative of a power function.

The rule for finding the derivative of a function made up of the ratios of two functions f(x) and g(x).

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 part of a collection of math definitions from Media4Math's Visual Glossary.

This is part of a collection of images that cover key vocabulary on a variety of math topics.