File:Cusp at (0,1).svg

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Cusp_at_(0,1).svg‎ (SVG file, nominally 1,200 × 700 pixels, file size: 102 KB)

Description

en: Function displaying a cusp at (0,1). See below for details.
it: Esempio di funzione con punto di cuspide in x=0.

Date

10/09/2007

Source

self-made

This vector image was created with Inkscape.

Author

Inductiveload

Permission
(Reusing this image)

I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Mathematical Function Plot
Description	Function displaying a cusp at (0,1)
Equation	$y=\sqrt{\|x\|}+1$
Co-ordinate System	Cartesian
X Range	-4 .. 4
Y Range	-0 .. 3
Derivative	$\frac{dy}{dx}= \frac{1}{2 \sqrt{x}}$

Points of Interest in this Range
Minima	$\left( 0, 1 \right)\,$
Cusps	$\left( 0, 1 \right)\,$
Derivatives at Cusp	$\lim_{x \to 0^+}f'(x) = +\infty$ , $\lim_{x \to 0^-}f'(x) = -\infty$

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	Date/Time	Thumbnail	Dimensions	User	Comment
current	14:57, 10 August 2007		1,200×700 (102 KB)	Inductiveload (Talk \| contribs)	({{Information \|Description=Function displaying a cusp at (0,1). See below for details. \|Source=self-made {{Inkscape}} \|Date=10/09/2007 \|Author= Inductiveload \|Permission = {{PD-self}} }} {\| class=prettytable !colspan=2\|[[Image:Icon)

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File:Cusp at (0,1).svg

From Wikimedia Commons, the free media repository

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