Cauchy's mean value theorem: Difference between revisions
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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[  |       return board.D(fArray[1])(t)/board.D(fArray[0])(t)-(p[4].Y()-p[0].Y())/(p[4].X()-p[0].X());  | ||
};  | };  | ||
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                     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 10:41, 27 January 2010
Cauchy's mean value theorem is also known as extended mean value theorem. In Germany it is called Zweiter Mittelwertsatz.