24 lines
1.0 KiB
JavaScript
24 lines
1.0 KiB
JavaScript
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// https://jsxgraph.uni-bayreuth.de/wiki/index.php?title=Mean_Value_Theorem
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var board = JXG.JSXGraph.initBoard('jsxgraph', {boundingbox: [-5, 10, 7, -6], axis:true});
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board.suspendUpdate();
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var p = [];
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p[0] = board.create('point', [-1,-2], {size:2});
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p[1] = board.create('point', [6,5], {size:2});
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p[2] = board.create('point', [-0.5,1], {size:2});
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p[3] = board.create('point', [3,3], {size:2});
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var f = JXG.Math.Numerics.lagrangePolynomial(p);
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var graph = board.create('functiongraph', [f,-10, 10]);
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var g = function(x) {
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return JXG.Math.Numerics.D(f)(x)-(p[1].Y()-p[0].Y())/(p[1].X()-p[0].X());
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};
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var r = board.create('glider', [
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function() { return JXG.Math.Numerics.root(g,(p[0].X()+p[1].X())*0.5); },
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function() { return f(JXG.Math.Numerics.root(g,(p[0].X()+p[1].X())*0.5)); },
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graph], {name:' ',size:4,fixed:true});
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board.create('tangent', [r], {strokeColor:'#ff0000'});
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line = board.create('line',[p[0],p[1]],{strokeColor:'#ff0000',dash:1});
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board.unsuspendUpdate();
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