N-th root - Revision history

A WASSERMANN at 12:14, 2 April 2020

2020-04-02T12:14:58Z

← Older revision		Revision as of 12:14, 2 April 2020
Line 2:		Line 2:

	:<math> \mathbb{R} \to \mathbb{R}, x \mapsto x^{1/3}</math>		:<math> \mathbb{R} \to \mathbb{R}, x \mapsto x^{1/3}</math>

			also for negative values of <math>x</math>.

	There are the following choices:		There are the following choices:

	* "Math.pow(x, 1/3)": this JavaScript function is restricted to positive values of <math>x</math>		* "Math.pow(x, 1/3)": this built-in JavaScript function is restricted to positive values of <math>x</math>.
	* "JXG.Math.cbrt(x)": cube root function which is able to compute the real cube root of <math>x</math>. It is ~~alos~~ available in most browsers as "Math.cbrt()". The JSXGraph makes cbrt available ~~alos~~ on old browsers.		* "JXG.Math.cbrt(x)": cube root function which is able to compute the real cube root of <math>x</math>. It is available in most browsers as built-in "Math.cbrt()". The JSXGraph makes cbrt available also on old browsers.
	* "JXG.Math.nthroot(x, 3)": general method in JSXGraph to compute the real <math>n</math>-th root of a real number.		* "JXG.Math.nthroot(x, 3)": general method in JSXGraph to compute the real <math>n</math>-th root of a real number.

2020-04-02T12:00:45Z

← Older revision		Revision as of 12:00, 2 April 2020
Line 1:		Line 1:
	This example ~~show~~ the various possibilities to plot the graph of the function		This example shows the various possibilities to plot the graph of the function

	:<math> \mathbb{R} \to \mathbb{R}, x \mapsto x^{1/3}</math>		:<math> \mathbb{R} \to \mathbb{R}, x \mapsto x^{1/3}</math>

2020-04-02T12:00:23Z

← Older revision		Revision as of 12:00, 2 April 2020
Line 2:		Line 2:

	:<math> \mathbb{R} \to \mathbb{R}, x \mapsto x^{1/3}</math>		:<math> \mathbb{R} \to \mathbb{R}, x \mapsto x^{1/3}</math>

			There are the following choices:

			* "Math.pow(x, 1/3)": this JavaScript function is restricted to positive values of <math>x</math>
			* "JXG.Math.cbrt(x)": cube root function which is able to compute the real cube root of <math>x</math>. It is alos available in most browsers as "Math.cbrt()". The JSXGraph makes cbrt available alos on old browsers.
			* "JXG.Math.nthroot(x, 3)": general method in JSXGraph to compute the real <math>n</math>-th root of a real number.

	<jsxgraph width="500" height="500">		<jsxgraph width="500" height="500">

2020-04-02T11:53:58Z

@@ Line 1: / Line 1: @@
 <jsxgraph width="500" height="500">
 var board = JXG.JSXGraph.initBoard('jxgbox', {
@@ Line 18: / Line 22: @@
 ===The underlying JavaScript code===
 <source lang="javascript">
 </source>
 [[Category:Examples]]
 [[Category:Calculus]]

2020-04-02T11:49:20Z

2020-04-02T11:49:06Z

2020-04-02T11:48:55Z

2020-04-02T11:48:26Z

2020-04-02T11:47:46Z

← Older revision		Revision as of 11:47, 2 April 2020
Line 8:		Line 8:
	var plot1 = board.create('functiongraph', ["nthroot(x, 3)"], {withLabel: true, name:'nthroot(x,3)'});		var plot1 = board.create('functiongraph', ["nthroot(x, 3)"], {withLabel: true, name:'nthroot(x,3)'});
	var plot2 = board.create('functiongraph', ["cbrt(x) + 1"], {withLabel: true, name:'cbrt(x)+1', strokeColor: 'black'});		var plot2 = board.create('functiongraph', ["cbrt(x) + 1"], {withLabel: true, name:'cbrt(x)+1', strokeColor: 'black'});
	var plot3 = board.create('functiongraph', [(x) => Math.pow(x, 1/3) - 1], {withLabel: true, name:'Math.pow(x, 1/3) - 1', strokeColor: 'red'});		var plot3 = board.create('functiongraph', [(x) => Math.pow(x, 1/3) - 1], {
			withLabel: true,
			name:'Math.pow(x, 1/3) - 1',
			strokeColor: 'red',
			label: {position: 'rt'}
			});
	</jsxgraph>		</jsxgraph>

2020-04-02T11:45:51Z

← Older revision		Revision as of 11:45, 2 April 2020
Line 7:		Line 7:

	var plot1 = board.create('functiongraph', ["nthroot(x, 3)"], {withLabel: true, name:'nthroot(x,3)'});		var plot1 = board.create('functiongraph', ["nthroot(x, 3)"], {withLabel: true, name:'nthroot(x,3)'});
	var plot2 = board.create('functiongraph', ["cbrt(x) + 1"], {withLabel: true, name:'cbrt(x)+1'});		var plot2 = board.create('functiongraph', ["cbrt(x) + 1"], {withLabel: true, name:'cbrt(x)+1', strokeColor: 'black'});
	var plot3 = board.create('functiongraph', [(x) => Math.pow(1.3~~, x~~) - 1], {~~strokeColor: 'red',~~ withLabel: true, name:'Math.pow(x, 1/3) - 1~~'});~~		var plot3 = board.create('functiongraph', [(x) => Math.pow(x, 1/3) - 1], {withLabel: true, name:'Math.pow(x, 1/3) - 1', strokeColor: 'red'});
	~~var plot4 = board.create('functiongraph~~', ~~[(x) => JXG.Math.pow(1.3, x) - 2], {~~strokeColor: 'red~~', withLabel: true, name:'JXG.Math.pow(x, 1/3) - 2~~'});		</jsxgraph>

			===The underlying JavaScript code===
			<source lang="javascript">
			</source>

	~~</jsxgraph>~~		[[Category:Examples]]
			[[Category:Calculus]]