Cauchy's mean value theorem: Difference between revisions

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

@@ Line 1: / Line 1: @@
 ''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">
 var board = JXG.JSXGraph.initBoard('jxgbox', {boundingbox:[-5,8,7,-8], axis:true});
 board.suspendUpdate();
 var p = [];
-p[0] = board.create('point', [-1,-2], {style:4});
+p[0] = board.create('point', [0,1], {style:4});
-p[1] = board.create('point', [1,4], {style:4});
+p[1] = board.create('point', [1,2], {style:4});
-p[2] = board.create('point', [-0.5,1], {style:4});
+p[2] = board.create('point', [2.5,3], {style:4});
-p[3] = board.create('point', [3,3], {style:4});
+p[3] = board.create('point', [3,2], {style:4});
-p[4] = board.create('point', [-2,5], {style:4});
+p[4] = board.create('point', [4,1], {style:4});
-var fArray = board.neville(p);
+var fArray = JXG.Math.Numerics.Neville(p);
 var graph = board.create('curve', fArray, {strokeWidth:3,strokeOpacity:0.5});
+/*
 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 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());
 };
@@ Line 20: / Line 24: @@
                      graph], {name:' ',style:6,fixed:true});
 board.create('tangent', [r], {strokeColor:'#ff0000'});
-/*
 */
 line = board.create('line',[p[0],p[4]],{strokeColor:'#ff0000',dash:1});