<iframe src="https://jsxgraph.org/share/iframe/differentiability" style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" name="JSXGraph example: Differentiability" allowfullscreen ></iframe>
<div id="board-0-wrapper" class="jxgbox-wrapper " style="width: 100%; "> <div id="board-0" class="jxgbox" style="aspect-ratio: 1 / 1; width: 100%;" data-ar="1 / 1"></div> </div> <script type = "text/javascript"> /* This example is licensed under a Creative Commons Attribution 4.0 International License. https://creativecommons.org/licenses/by/4.0/ Please note you have to mention The Center of Mobile Learning with Digital Technology in the credits. */ const BOARDID = 'board-0'; const board = JXG.JSXGraph.initBoard(BOARDID, { boundingbox: [-5, 10, 7, -6], axis: true, showClearTraces: true, showFullscreen: true}); // Blue points that define the function graph var p = []; p[0] = board.create('point', [-1,0], {withLabel: false, size:2, color:'blue'}); p[1] = board.create('point', [-0.5,3], {withLabel: false, size:2, color:'blue'}); p[2] = board.create('point', [2,0.5], {withLabel: false, size:2, color:'blue'}); p[3] = board.create('point', [6, 3], {withLabel: false, size:2, color:'blue'}); // Lagrange polynomial through blue points var pol = JXG.Math.Numerics.lagrangePolynomial(p); var graph = board.create('functiongraph', [pol, -10, 10], {strokeWidth: 2, name:"f", withLabel: true}); var x0 = board.create('glider', [1, 0, board.defaultAxes.x], {name: 'x_0', size:4, label: {fontSize:20}}); var x = board.create('glider', [5, 0, board.defaultAxes.x], {name: 'x', size:4, label: {fontSize:20}}); var fx0 = board.create('point', [function() { return x0.X(); }, function() { return pol(x0.X()); }], {name: '', color: 'grey', fixed: true, size:3}); var fx = board.create('point', [function() { return x.X(); }, function() { return pol(x.X()); }], {name: '', color: 'grey', fixed: true, size:3}); // Secant through fx0 and fx var line = board.create('line', [fx0, fx],{strokeColor:'#ff0000', dash:2}); // Trace point visualizing f_1 var f1 = board.create('point', [ () => x.X(), () => (fx.Y() - fx0.Y()) / (fx.X() - fx0.X() + 0.0000001)], {size: 1, name: 'f_1', color: 'black', fixed: true, trace: true}); // Print function values of f_1 var txt = board.create('text', [0.5, 7, () => '( ' + fx.Y().toFixed(2) + ' - (' + fx0.Y().toFixed(2) + ') ) / ( ' + fx.X().toFixed(2) + ' - (' + fx0.X().toFixed(2) + ') ) = ' + ((fx.Y() - fx0.Y()) / (fx.X() - fx0.X())).toFixed(3) ]); // Plot derivative board.create('functiongraph',[JXG.Math.Numerics.D(pol)], {dash: 2, name:"f'", withLabel: true}); </script>
/* This example is licensed under a Creative Commons Attribution 4.0 International License. https://creativecommons.org/licenses/by/4.0/ Please note you have to mention The Center of Mobile Learning with Digital Technology in the credits. */ const BOARDID = 'your_div_id'; // Insert your id here! const board = JXG.JSXGraph.initBoard(BOARDID, { boundingbox: [-5, 10, 7, -6], axis: true, showClearTraces: true, showFullscreen: true}); // Blue points that define the function graph var p = []; p[0] = board.create('point', [-1,0], {withLabel: false, size:2, color:'blue'}); p[1] = board.create('point', [-0.5,3], {withLabel: false, size:2, color:'blue'}); p[2] = board.create('point', [2,0.5], {withLabel: false, size:2, color:'blue'}); p[3] = board.create('point', [6, 3], {withLabel: false, size:2, color:'blue'}); // Lagrange polynomial through blue points var pol = JXG.Math.Numerics.lagrangePolynomial(p); var graph = board.create('functiongraph', [pol, -10, 10], {strokeWidth: 2, name:"f", withLabel: true}); var x0 = board.create('glider', [1, 0, board.defaultAxes.x], {name: 'x_0', size:4, label: {fontSize:20}}); var x = board.create('glider', [5, 0, board.defaultAxes.x], {name: 'x', size:4, label: {fontSize:20}}); var fx0 = board.create('point', [function() { return x0.X(); }, function() { return pol(x0.X()); }], {name: '', color: 'grey', fixed: true, size:3}); var fx = board.create('point', [function() { return x.X(); }, function() { return pol(x.X()); }], {name: '', color: 'grey', fixed: true, size:3}); // Secant through fx0 and fx var line = board.create('line', [fx0, fx],{strokeColor:'#ff0000', dash:2}); // Trace point visualizing f_1 var f1 = board.create('point', [ () => x.X(), () => (fx.Y() - fx0.Y()) / (fx.X() - fx0.X() + 0.0000001)], {size: 1, name: 'f_1', color: 'black', fixed: true, trace: true}); // Print function values of f_1 var txt = board.create('text', [0.5, 7, () => '( ' + fx.Y().toFixed(2) + ' - (' + fx0.Y().toFixed(2) + ') ) / ( ' + fx.X().toFixed(2) + ' - (' + fx0.X().toFixed(2) + ') ) = ' + ((fx.Y() - fx0.Y()) / (fx.X() - fx0.X())).toFixed(3) ]); // Plot derivative board.create('functiongraph',[JXG.Math.Numerics.D(pol)], {dash: 2, name:"f'", withLabel: true});
<jsxgraph width="100%" aspect-ratio="1 / 1" title="Differentiability" description="This construction was copied from JSXGraph examples database: BTW HERE SHOULD BE A GENERATED LINKuseGlobalJS="false"> /* This example is licensed under a Creative Commons Attribution 4.0 International License. https://creativecommons.org/licenses/by/4.0/ Please note you have to mention The Center of Mobile Learning with Digital Technology in the credits. */ const board = JXG.JSXGraph.initBoard(BOARDID, { boundingbox: [-5, 10, 7, -6], axis: true, showClearTraces: true, showFullscreen: true}); // Blue points that define the function graph var p = []; p[0] = board.create('point', [-1,0], {withLabel: false, size:2, color:'blue'}); p[1] = board.create('point', [-0.5,3], {withLabel: false, size:2, color:'blue'}); p[2] = board.create('point', [2,0.5], {withLabel: false, size:2, color:'blue'}); p[3] = board.create('point', [6, 3], {withLabel: false, size:2, color:'blue'}); // Lagrange polynomial through blue points var pol = JXG.Math.Numerics.lagrangePolynomial(p); var graph = board.create('functiongraph', [pol, -10, 10], {strokeWidth: 2, name:"f", withLabel: true}); var x0 = board.create('glider', [1, 0, board.defaultAxes.x], {name: 'x_0', size:4, label: {fontSize:20}}); var x = board.create('glider', [5, 0, board.defaultAxes.x], {name: 'x', size:4, label: {fontSize:20}}); var fx0 = board.create('point', [function() { return x0.X(); }, function() { return pol(x0.X()); }], {name: '', color: 'grey', fixed: true, size:3}); var fx = board.create('point', [function() { return x.X(); }, function() { return pol(x.X()); }], {name: '', color: 'grey', fixed: true, size:3}); // Secant through fx0 and fx var line = board.create('line', [fx0, fx],{strokeColor:'#ff0000', dash:2}); // Trace point visualizing f_1 var f1 = board.create('point', [ () => x.X(), () => (fx.Y() - fx0.Y()) / (fx.X() - fx0.X() + 0.0000001)], {size: 1, name: 'f_1', color: 'black', fixed: true, trace: true}); // Print function values of f_1 var txt = board.create('text', [0.5, 7, () => '( ' + fx.Y().toFixed(2) + ' - (' + fx0.Y().toFixed(2) + ') ) / ( ' + fx.X().toFixed(2) + ' - (' + fx0.X().toFixed(2) + ') ) = ' + ((fx.Y() - fx0.Y()) / (fx.X() - fx0.X())).toFixed(3) ]); // Plot derivative board.create('functiongraph',[JXG.Math.Numerics.D(pol)], {dash: 2, name:"f'", withLabel: true}); </jsxgraph>
// Define the id of your board in BOARDID const board = JXG.JSXGraph.initBoard(BOARDID, { boundingbox: [-5, 10, 7, -6], axis: true, showClearTraces: true, showFullscreen: true}); // Blue points that define the function graph var p = []; p[0] = board.create('point', [-1,0], {withLabel: false, size:2, color:'blue'}); p[1] = board.create('point', [-0.5,3], {withLabel: false, size:2, color:'blue'}); p[2] = board.create('point', [2,0.5], {withLabel: false, size:2, color:'blue'}); p[3] = board.create('point', [6, 3], {withLabel: false, size:2, color:'blue'}); // Lagrange polynomial through blue points var pol = JXG.Math.Numerics.lagrangePolynomial(p); var graph = board.create('functiongraph', [pol, -10, 10], {strokeWidth: 2, name:"f", withLabel: true}); var x0 = board.create('glider', [1, 0, board.defaultAxes.x], {name: 'x_0', size:4, label: {fontSize:20}}); var x = board.create('glider', [5, 0, board.defaultAxes.x], {name: 'x', size:4, label: {fontSize:20}}); var fx0 = board.create('point', [function() { return x0.X(); }, function() { return pol(x0.X()); }], {name: '', color: 'grey', fixed: true, size:3}); var fx = board.create('point', [function() { return x.X(); }, function() { return pol(x.X()); }], {name: '', color: 'grey', fixed: true, size:3}); // Secant through fx0 and fx var line = board.create('line', [fx0, fx],{strokeColor:'#ff0000', dash:2}); // Trace point visualizing f_1 var f1 = board.create('point', [ () => x.X(), () => (fx.Y() - fx0.Y()) / (fx.X() - fx0.X() + 0.0000001)], {size: 1, name: 'f_1', color: 'black', fixed: true, trace: true}); // Print function values of f_1 var txt = board.create('text', [0.5, 7, () => '( ' + fx.Y().toFixed(2) + ' - (' + fx0.Y().toFixed(2) + ') ) / ( ' + fx.X().toFixed(2) + ' - (' + fx0.X().toFixed(2) + ') ) = ' + ((fx.Y() - fx0.Y()) / (fx.X() - fx0.X())).toFixed(3) ]); // Plot derivative board.create('functiongraph',[JXG.Math.Numerics.D(pol)], {dash: 2, name:"f'", withLabel: true});
This example is licensed under a Creative Commons Attribution 4.0 International License. Please note you have to mention The Center of Mobile Learning with Digital Technology in the credits.