Mathematical formulas

Differential Calculus

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Sections

1Notation, functions and domains
2Limits
3Continuity
4Derivative and geometric interpretation
5Differentiation rules
6Higher-order derivatives
7Mean value theorem
8Function analysis
9Optimization
10Linear approximations and differentials
11Taylor series (introduction)
12L'Hôpital and indeterminate limits
13Implicit and related functions
14Related rates
15Graphs and asymptotic behavior
16Guide to differentiate and analyze
AAppendix A: extended derivative table

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Differential Calculus
Intervals and absolute value
Formula

1.1. Intervals and absolute value

Formula

In 1.1. Intervals and absolute value

Formula

|x-a|<\delta \quad\Longleftrightarrow\quad a-\delta<x<a+\delta

Tags

Differential calculus
Domain
Functions
Notation
Intervals and absolute value

Detail

Symmetric neighborhood of radius

\delta

around

a

.

Variables

$x$ Independent variable
$a$ Point or real constant
$\delta$ Radius in the ε-δ definition

Conditions

$\Longleftrightarrow$
$a-\delta<x<a+\delta$

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