Cauchy's mean value theorem: Difference between revisions

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Line 11: Line 11:
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[0])(t)/board.D(fArray[1])(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 21: Line 20:
                     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.