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
Tangent and normal lines
Formula

4.2. Tangent and normal lines

Formula

In 4.2. Tangent and normal lines

Formula

y-f(a)=-\frac{1}{f'(a)}(x-a),\qquad f'(a)\neq0

Tags

Differential calculus
Derivative
Tangent and normal lines
Derivative formula

Detail

Equation of the normal line.

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Explore the idea

Variables

$x$ Independent variable
$a$ Point or real constant
$f$ Function
$f'$ Derivative of $f$
$f'(a)\neq0$ Dependent variable

Conditions

$f'(a)\neq0$

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