Difference between revisions of "Mean Value Theorem"
From JSXGraph Wiki
Jump to navigationJump to searchA WASSERMANN (talk | contribs) |
A WASSERMANN (talk | contribs) |
||
Line 4: | Line 4: | ||
<div id="box" class="jxgbox" style="width:600px; height:400px;"></div> | <div id="box" class="jxgbox" style="width:600px; height:400px;"></div> | ||
<script language="JavaScript"> | <script language="JavaScript"> | ||
− | + | var board = JXG.JSXGraph.initBoard('box', {originX: 250, originY: 250, unitX: 50, unitY: 25, axis:true}); | |
board.suspendUpdate(); | board.suspendUpdate(); | ||
− | + | var p = []; | |
− | + | p[0] = board.create('point', [-1,-2], {style:4}); | |
− | + | p[1] = board.create('point', [6,5], {style:4}); | |
+ | p[2] = board.create('point', [-0.5,1], {style:4}); | ||
+ | p[3] = board.create('point', [3,3], {style:4}); | ||
+ | var f = board.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', [ | |
− | |||
− | |||
− | |||
− | var r = board. | ||
function() { return board.root(g,(p[0].X()+p[1].X())*0.5); }, | 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)); }, | function() { return f(board.root(g,(p[0].X()+p[1].X())*0.5)); }, | ||
graph], {name:' ',style:6,fixed:true}); | graph], {name:' ',style:6,fixed:true}); | ||
− | board. | + | board.create('tangent', [r], {strokeColor:'#ff0000'}); |
− | line = board. | + | line = board.create('line',[p[0],p[1]],{strokeColor:'#ff0000',dash:1}); |
board.unsuspendUpdate(); | board.unsuspendUpdate(); | ||
Line 35: | Line 31: | ||
===The underlying JavaScript code=== | ===The underlying JavaScript code=== | ||
<source lang="javascript"> | <source lang="javascript"> | ||
− | + | var board = JXG.JSXGraph.initBoard('box', {originX: 250, originY: 250, unitX: 50, unitY: 25, axis:true}); | |
board.suspendUpdate(); | board.suspendUpdate(); | ||
− | + | var p = []; | |
− | + | p[0] = board.create('point', [-1,-2], {style:4}); | |
− | + | p[1] = board.create('point', [6,5], {style:4}); | |
− | + | p[2] = board.create('point', [-0.5,1], {style:4}); | |
− | + | p[3] = board.create('point', [3,3], {style:4}); | |
− | + | var f = board.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. | + | var r = board.create('glider', [ |
function() { return board.root(g,(p[0].X()+p[1].X())*0.5); }, | 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)); }, | function() { return f(board.root(g,(p[0].X()+p[1].X())*0.5)); }, | ||
graph], {name:' ',style:6,fixed:true}); | graph], {name:' ',style:6,fixed:true}); | ||
− | board. | + | board.create('tangent', [r], {strokeColor:'#ff0000'}); |
− | line = board. | + | line = board.create('line',[p[0],p[1]],{strokeColor:'#ff0000',dash:1}); |
board.unsuspendUpdate(); | board.unsuspendUpdate(); |
Revision as of 12:24, 27 January 2010
The underlying JavaScript code
var board = JXG.JSXGraph.initBoard('box', {originX: 250, originY: 250, unitX: 50, unitY: 25, axis:true});
board.suspendUpdate();
var p = [];
p[0] = board.create('point', [-1,-2], {style:4});
p[1] = board.create('point', [6,5], {style:4});
p[2] = board.create('point', [-0.5,1], {style:4});
p[3] = board.create('point', [3,3], {style:4});
var f = board.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:' ',style:6,fixed:true});
board.create('tangent', [r], {strokeColor:'#ff0000'});
line = board.create('line',[p[0],p[1]],{strokeColor:'#ff0000',dash:1});
board.unsuspendUpdate();