Refresher 03 - Diff. and Int. Calc

In y = f(x), the variable x to which any value may be assigned is the independent variable or

argument

In y = f(x), the variable y is the dependent variable or

function

The set of second element of the ordered pair in the relation or function

range

The set of first elements of the ordered pair in the relation or function

domain

The difference between the approximate value of a quantity and its exact value or true value

absolute error

It is a set that includes its all limit points

closed set

Any set of ordered pair called a

relation

Refers to a quantity which does not change its value in a general relationship between variables

constant

An infinite change in an independent variable or in a dependent variable due to a small change in independent variable

differential

A set of functions one of which can be expressed as a function of the others

dependent functions

The critical points of a graph occur where the derivative of the function is

zero

Refers to rate of change of a function with respect to distance in a specified direction or along a specified curve

directional derivative

The derivative of a constant is

zero

At point of inflection

y”=0

The [x] derivative of the function is the rate of change of the slope of the graph

second

A set of numbers or quantities on which a mapping is or carried out

domain

A function f(x) is called [x] of f(x) if f’(x) = f(x)

anti-derivative

At a point where y’=0, if y changes from positive to negative as x increases

y is maximum

In mathematics, a quantity larger than any that can be specified

infinity

A set of all numbers or points lying between two endpoints

interval