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}); | ||
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var fArray = board.neville(p); | var fArray = board.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 board.D(fArray[1])(t)/board.D(fArray[0])(t)-(p[4].Y()-p[0].Y())/(p[4].X()-p[0].X()); | return board.D(fArray[1])(t)/board.D(fArray[0])(t)-(p[4].Y()-p[0].Y())/(p[4].X()-p[0].X()); | ||
| Line 20: | Line 24: | ||
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}); | ||
Revision as of 10:45, 27 January 2010
Cauchy's mean value theorem is also known as extended mean value theorem. In Germany it is called Zweiter Mittelwertsatz.
DRAFT
