Cauchy's mean value theorem: Difference between revisions

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Line 8: Line 8:
p[0] = board.create('point', [-2,1], {style:4});
p[0] = board.create('point', [-2,1], {style:4});
p[1] = board.create('point', [-1,2], {style:4});
p[1] = board.create('point', [-1,2], {style:4});
p[2] = board.create('point', [0,3], {style:4});
p[2] = board.create('point', [0.5,3], {style:4});
p[3] = board.create('point', [1,2], {style:4});
p[3] = board.create('point', [1,2], {style:4});
p[4] = board.create('point', [2,1], {style:4});
p[4] = board.create('point', [2,1], {style:4});
Line 14: Line 14:
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].X()-p[0].X())/(p[4].Y()-p[0].Y());
     return board.D(fArray[0])(t)/board.D(fArray[1])(t)-(p[4].X()-p[0].X())/(p[4].Y()-p[0].Y());
Line 24: Line 23:
                     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 12:54, 27 January 2010

Cauchy's mean value theorem is also known as extended mean value theorem. In Germany it is called Zweiter Mittelwertsatz.

DRAFT