Template:Calculus/doc

This is a documentation subpage for Template:Calculus.
It may contain usage information, categories and other content that is not part of the original template page.

Differential

Definitions
Derivative (generalizations) Differential infinitesimal of a function total
Concepts
Differentiation notation Second derivative Implicit differentiation Logarithmic differentiation Related rates Taylor's theorem
Rules and identities
Sum Product Chain Power Quotient L'Hôpital's rule Inverse General Leibniz Faà di Bruno's formula Reynolds

Integral

Definitions
Lists of integrals Integral transform Leibniz integral rule
Antiderivative Integral (improper) Riemann integral Lebesgue integration Contour integration Integral of inverse functions
Integration by
Parts Discs Cylindrical shells Substitution (trigonometric, tangent half-angle, Euler) Euler's formula Partial fractions (Heaviside's method) Changing order Reduction formulae Differentiating under the integral sign Risch algorithm

Series

Convergence tests
Geometric (arithmetico-geometric) Harmonic Alternating Power Binomial Taylor
Summand limit (term test) Ratio Root Integral Direct comparison Limit comparison Alternating series Cauchy condensation Dirichlet Abel

Template:Calculus is used to give a brief outline of calculus topics (you can see an example on the right).

Collapsible lists

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This template includes collapsible lists.

• To set it to display all lists when it appears (i.e. all lists expanded), use:
{{Calculus |expanded=all}} or, if enabled, {{Calculus |all}} (i.e. omitting "expanded=").

• To set it to display one particular list while keeping the remainder collapsed (i.e. hidden apart from their headings), use:
{{Calculus |expanded=listname}} or, if enabled, {{Calculus |listname}}
…where listname is one of the following (do not include any quotemarks):
differential, integral, series, vector, multivariable, specialized

decdeg	degrees, minutes, and seconds to decimal degrees
deg2dms	decimal degrees to degrees, minutes, and seconds
deg2hms	decimal degrees to hour angle (in hours, minutes, and seconds)
hms2deg	hour angle (in hours, minutes, and seconds) to decimal degrees
inflation	calculate inflation of Consumer Price Index-related prices
pop density	population density in an area
track gauge	railway track gauges

Notation and formatting

bigmath	bigger font to match TeX `\displaystyle` (standalone formulas only)
bra-ket braket bra ket	bra–ket notation
ceil, floor	calculations :mw:Help:#expr; formatting indicators ⌈3.14⌉, ⌊3.14⌋ (no calculation performed)
fraction	slant fractions 3⁄5 (not for maths/science articles; use standing or upright fractions `{{sfrac}}` instead)
intmath	integral symbols
langle rangle angbr	angular brackets
ldelim rdelim	multiline delimiters (2–5 lines inclusive)
abs	absolute values (paired vertical lines)
math	short text-based formulas
mathcal	[mathematical] calligraphic font; alternative to LaTeX `\mathcal{...}`

mvar	individual italicized maths variables in normal text
overline underline	a line set above/below a sequence of characters
overarc	an arc set above a sequence of characters
overset underset	arbitrary characters/diacritics set above/below one another
pars	parentheses that can be resized $(\sum)$
sfrac	"standing" or upright fractions ⁠3/5⁠ (use in maths/science articles instead of`{{fraction}}`)
sub sup su	subscripts and superscripts
tmath	Wrap TeX in <math> tags
tombstone	symbol indicating the end of a proof
val	measurement values, uncertainties and units
vec	various overarrows, underarrows, etc.

Boxes

Collapsible lists

See also