update work flow
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@@ -396,7 +396,39 @@ That is the function $f(x)$, minus the secant line between $(a,f(a))$ and $(b, f
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nothing
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```
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An interactive example can be found at [jsxgraph](http://jsxgraph.uni-bayreuth.de/wiki/index.php?title=Mean_Value_Theorem).
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```=html
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<div id="jsxgraph" style="width: 500px; height: 500px;"></div>
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```
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```ojs
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//| echo: false
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//| output: false
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JXG = require("jsxgraph");
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board = JXG.JSXGraph.initBoard('jsxgraph', {boundingbox: [-5, 10, 7, -6], axis:true});
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p = [
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board.create('point', [-1,-2], {size:2}),
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board.create('point', [6,5], {size:2}),
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board.create('point', [-0.5,1], {size:2}),
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board.create('point', [3,3], {size:2})
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];
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f = JXG.Math.Numerics.lagrangePolynomial(p);
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graph = board.create('functiongraph', [f,-10, 10]);
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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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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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```
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This interactive example can also be found at [jsxgraph](http://jsxgraph.uni-bayreuth.de/wiki/index.php?title=Mean_Value_Theorem). It shows a cubic polynomial fit to the ``4`` adjustable points labeled A through D. The secant line is drawn between points A and B with a dashed line. A tangent line -- with the same slope as the secant line -- is identified at a point ``(\alpha, f(\alpha))`` where ``\alpha`` is between the points A and B. That this can always be done is a conseuqence of the mean value theorem.
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##### Example
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