Cauchy's mean value theorem: Difference between revisions
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''Cauchy's mean value theorem'' is also known as ''extended mean value theorem''. In Germany it is called ''Zweiter Mittelwertsatz''. | ''Cauchy's mean value theorem'' is also known as ''extended mean value theorem''. In Germany it is called ''Zweiter Mittelwertsatz''. | ||
DRAFT | |||
<jsxgraph width="600" height="400"> | <jsxgraph width="600" height="400"> | ||
var board = JXG.JSXGraph.initBoard('jxgbox', {boundingbox:[-5,8,7,-8], axis:true}); | var board = JXG.JSXGraph.initBoard('jxgbox', {boundingbox:[-5,8,7,-8], axis:true}); | ||
board.suspendUpdate(); | board.suspendUpdate(); | ||
var p = []; | var p = []; | ||
p[0] = board.create('point', [ | p[0] = board.create('point', [0,1], {style:4}); | ||
p[1] = board.create('point', [1, | p[1] = board.create('point', [1,2], {style:4}); | ||
p[2] = board.create('point', [ | p[2] = board.create('point', [2.5,3], {style:4}); | ||
p[3] = board.create('point', [3, | p[3] = board.create('point', [3,2], {style:4}); | ||
p[4] = board.create('point', [ | p[4] = board.create('point', [4,1], {style:4}); | ||
var fArray = | var fArray = JXG.Math.Numerics.Neville(p); | ||
var graph = board.create('curve', fArray, {strokeWidth:3,strokeOpacity:0.5}); | var graph = board.create('curve', fArray, {strokeWidth:3,strokeOpacity:0.5}); | ||
/* | |||
var g = function(t) { | var g = function(t) { | ||
return | return JXG.Math.Numerics.D(fArray[0])(t)/JXG.Math.Numerics.D(fArray[1])(t)-(p[4].X()-p[0].X())/(p[4].Y()-p[0].Y()); | ||
}; | }; | ||
var r = board.create('glider', [ | var r = board.create('glider', [ | ||
function() { return fArray[0](board.root(g, | function() { return fArray[0](board.root(g,2)); }, | ||
function() { return fArray[1](board.root(g, | function() { return fArray[1](board.root(g,2)); }, | ||
graph], {name:' ',style:6,fixed:true}); | graph], {name:' ',style:6,fixed:true}); | ||
board.create('tangent', [r], {strokeColor:'#ff0000'}); | board.create('tangent', [r], {strokeColor:'#ff0000'}); | ||
*/ | */ | ||
line = board.create('line',[p[0],p[4]],{strokeColor:'#ff0000',dash:1}); | line = board.create('line',[p[0],p[4]],{strokeColor:'#ff0000',dash:1}); | ||
Latest revision as of 19:06, 18 January 2013
Cauchy's mean value theorem is also known as extended mean value theorem. In Germany it is called Zweiter Mittelwertsatz.
DRAFT
