# Difference between revisions of "Mean Value Theorem"

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p[2] = board.create('point', [-0.5,1], {size:2}); | p[2] = board.create('point', [-0.5,1], {size:2}); | ||

p[3] = board.create('point', [3,3], {size:2}); | p[3] = board.create('point', [3,3], {size:2}); | ||

− | var f = | + | var f = JXG.Math.Numerics.lagrangePolynomial(p); |

var graph = board.create('functiongraph', [f,-10, 10]); | var graph = board.create('functiongraph', [f,-10, 10]); | ||

Line 33: | Line 33: | ||

p[2] = board.create('point', [-0.5,1], {size:2}); | p[2] = board.create('point', [-0.5,1], {size:2}); | ||

p[3] = board.create('point', [3,3], {size:2}); | p[3] = board.create('point', [3,3], {size:2}); | ||

− | var f = | + | var f = JXG.Math.Numerics.lagrangePolynomial(p); |

var graph = board.create('functiongraph', [f,-10, 10]); | var graph = board.create('functiongraph', [f,-10, 10]); | ||

## Revision as of 17:28, 20 February 2013

### The underlying JavaScript code

```
var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-5, 10, 7, -6], axis:true});
board.suspendUpdate();
var p = [];
p[0] = board.create('point', [-1,-2], {size:2});
p[1] = board.create('point', [6,5], {size:2});
p[2] = board.create('point', [-0.5,1], {size:2});
p[3] = board.create('point', [3,3], {size:2});
var f = JXG.Math.Numerics.lagrangePolynomial(p);
var graph = board.create('functiongraph', [f,-10, 10]);
var g = function(x) {
return board.D(f)(x)-(p[1].Y()-p[0].Y())/(p[1].X()-p[0].X());
};
var r = board.create('glider', [
function() { return board.root(g,(p[0].X()+p[1].X())*0.5); },
function() { return f(board.root(g,(p[0].X()+p[1].X())*0.5)); },
graph], {name:' ',size:4,fixed:true});
board.create('tangent', [r], {strokeColor:'#ff0000'});
line = board.create('line',[p[0],p[1]],{strokeColor:'#ff0000',dash:1});
board.unsuspendUpdate();
```