Shared Flashcard Set

Details

Calculus Basic Formulas and Definitions
Trig Derivatives
9
Mathematics
Undergraduate 1
02/06/2012

Additional Mathematics Flashcards

 


 

Cards

Term
What are the trig Derivatives?
Definition
[image]
Term
What is a function?
Definition

A funciton is a rule or correspondence which associates to each number x in a set A unique number f(x) in a set B.


The set A is called the domain of f and the set of all f(x)'s is called the range of f.

Term
In Calculus, what is the relationship between continuity and differentiability?
Definition
Differentiability implies continuity, but continuity does not imply differentiability.
Term
Define Slope:
Definition
Slope is defined as the steepness of the line. Also known as the gradient
Term
Define tangent line.
Definition
A line which "touches," the curve at a single point.
Term
define derivative.
Definition
The derivative is a measure of how a function changes as its input changes.
Term
Define Function.
Definition
A "function" in mathematics is an argument or input with exactly one output.
Term
Define Limit.
Definition

The limit of a function f( x) describes the behavior of the function close to a particular x value. It does not necessarily give the value of the function at x.

 

It is used in defining some of the most important concepts in calculus—continuity, the derivative of a function, and the definite integral of a function.

Term
Define Function Application:
Definition
function application is the act of applying a function to an argument from its domain so as to obtain the corresponding value from its range.
Supporting users have an ad free experience!