Define derivative at a point

The slope of the tangent line to the function at that point

Define a decreasing function

A function where y decreases as x increases

Define asymptote

A line that a graph approaches but never touches

Define limit of a function

The value that a function approaches as the input approaches some value

Define an arithmetic series

The sum of the terms in an arithmetic sequence

Define implicit differentiation

A technique to differentiate equations not solved for one variable in terms of the other

Define a logarithmic scale

A scale used for a range of values where each step is a constant times the previous step

Define logarithmic function

The inverse of an exponential function

Define binomial distribution

The frequency distribution of the possible number of successful outcomes in a given number of trials in each of which there is the same probability of success

Define discriminant of a quadratic equation

Part of the quadratic formula that determines the nature of the roots

Define arithmetic sequence

A sequence where the difference between consecutive terms is constant

Define matrix multiplication

The process of multiplying two matrices by combining rows of the first matrix with columns of the second

Define angular velocity

The rate of change of angular position of a rotating object

Define exponential function

A function where the variable is in the exponent

Define ellipse

A set of points where the sum of the distances from two fixed points (foci) is constant

Define composite function

A function composed of two functions where the output of one function is the input of another

Define inflection point

A point on the graph at which the concavity of the function changes

Define geometric series

The sum of the terms in a geometric sequence

Define normal distribution

A bell-shaped distribution that is symmetric about the mean

Define eccentricity of an ellipse

A number that describes the shape of an ellipse

Define geometric sequence

A sequence where the ratio between consecutive terms is constant

Define circular functions

Trigonometric functions considered as functions of the angle

Define absolute value inequality

An inequality that involves the absolute value of a variable expression

Define an increasing function

A function where y increases as x increases

Define complex numbers

Numbers that have a real part and an imaginary part