Title | Description | Thumbnail Image | Curriculum Topics |
---|---|---|---|
Definition--Calculus Topics--Rational Function |
Definition--Calculus Topics--Rational Function
A function made up of the ratio of two functions f(x) and g(x). |
Calculus Vocabulary | |
Definition--Calculus Topics--Riemann Sum |
Definition--Calculus Topics--Riemann Sum
An approximation method for estimating the area under a curve and used to approximate the solution to a definite integral. |
Calculus Vocabulary | |
Definition--Calculus Topics--Right-Hand Limit |
Definition--Calculus Topics--Right-Hand Limit
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. This limit may or may not exist. |
Calculus Vocabulary | |
Definition--Calculus Topics--Rolle's Theorem |
Definition--Calculus Topics--Rolle's Theorem
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. |
Calculus Vocabulary | |
Definition--Calculus Topics--Second Derivative |
Definition--Calculus Topics--Second Derivative
For differentiable function f(x), the second derivative is the derivative of f'(x) and denoted as f''(x). |
Calculus Vocabulary | |
Definition--Calculus Topics--Separable Differential Equation |
Definition--Calculus Topics--Separable Differential Equation
A special type of differential equation in which functions f(x) and g(y) can be separated to find the solution to the equation. |
Calculus Vocabulary | |
Definition--Calculus Topics--Sigma Notation |
Definition--Calculus Topics--Sigma Notation
The Greek letter used for summarizing terms of a finite or infinite sequence. |
Calculus Vocabulary | |
Definition--Calculus Topics--Step Function |
Definition--Calculus Topics--Step Function
A discontinuous function whose graph looks like a staircase. A step function can be generated by ceiling or floor functions. |
Calculus Vocabulary | |
Definition--Calculus Topics--Sum Rule |
Definition--Calculus Topics--Sum Rule
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). |
Calculus Vocabulary | |
Definition--Calculus Topics--Tangent to a Curve |
Definition--Calculus Topics--Tangent to a Curve
A line that intersects a curve at a single point and is perpendicular to the curve at that point. In calculus the derivative of a differentiable function f(x) is f'(x) and can be used to find the slope of tangent to the curve for a given point. |
Calculus Vocabulary | |
Definition--Calculus Topics--Trapezoidal Rule |
Definition--Calculus Topics--Trapezoidal Rule
A technique for approximating a definite integral by adding the areas of trapezoids underneath a curve. |
Calculus Vocabulary | |
Definition--Calculus Topics--Trig Identities |
Definition--Calculus Topics--Trig Identities
Equations that involve trigonmetric functions and are often used to simplify certain trigonometric expressions. |
Calculus Vocabulary | |
Definition--Calculus Topics--Trigonometric Function |
Definition--Calculus Topics--Trigonometric Function
One of six main functions, including sine, cosine, tangent, secant, cosecant, and cotangent. |
Calculus Vocabulary | |
Definition--Calculus Topics--Vector |
Definition--Calculus Topics--Vector
A quantity that has magnitude and direction. Vectors are often used to model real-world phenomena such as force, speed, or acceleration. |
Calculus Vocabulary | |
Definition--Calculus Topics--Velocity |
Definition--Calculus Topics--Velocity
The first derivative, with respect to time, for the displacement function. Velocity is a vector quantity. |
Calculus Vocabulary | |
Definition--Calculus Topics--Vertical Asymptote |
Definition--Calculus Topics--Vertical Asymptote
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. |
Calculus Vocabulary | |
Definition--Calculus Topics--Zeros of a Function |
Definition--Calculus Topics--Zeros of a Function
Where the graph of a function intersects the x-axis. The solutions to the equation f(x) = 0 for some function f(x). |
Calculus Vocabulary | |
Definition--Exponential Concepts--Graphs of Exponential Functions |
Definition--Exponential Concepts--Graphs of Exponential Functions
This is a collection of definitions related to exponential concepts. This includes exponential functions, equations, and properties of exponents. |
Applications of Exponential and Logarithmic Functions | |
Definition--Functions and Relations Concepts--Absolute Value Function |
Definition--Functions and Relations Concepts--Absolute Value Function
This is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms. |
Special Functions | |
Definition--Functions and Relations Concepts--Composite Function |
Definition--Functions and Relations Concepts--Composite Function
Quizlet Flash Cards: Composite FunctionsThis is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms. |
Composite Functions | |
Definition--Functions and Relations Concepts--Conic Sections |
Definition--Functions and Relations Concepts--Conic Sections
This is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms. |
Conic Sections | |
Definition--Functions and Relations Concepts--Constant Function |
Definition--Functions and Relations Concepts--Constant Function
This is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms. |
Relations and Functions | |
Definition--Functions and Relations Concepts--Continuous Function |
Definition--Functions and Relations Concepts--Continuous Function
This is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms. |
Relations and Functions | |
Definition--Functions and Relations Concepts--Decreasing Function |
Definition--Functions and Relations Concepts--Decreasing Function
This is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms. |
Relations and Functions | |
Definition--Functions and Relations Concepts--Dependent Variable |
Definition--Functions and Relations Concepts--Dependent Variable
This is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms. |
Relations and Functions |