Cauchy's mean value theorem: Difference between revisions

Revision as of 10:37, 27 January 2010

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

@@ Line 9: / Line 9: @@
 p[3] = board.create('point', [3,3], {style:4});
 p[4] = board.create('point', [-2,5], {style:4});
-var graph = board.create('curve', board.neville(p),{strokeWidth:3,strokeOpacity:0.5});
+var fArray = board.neville(p);
-/*
+var graph = board.create('curve', fArray,{strokeWidth:3,strokeOpacity:0.5});
 var g = function(x) {
-      return board.D(f)(x)-(p[1].Y()-p[0].Y())/(p[1].X()-p[0].X());
+      return board.D(fArray[0])(x)/board.D(fArray[1])(x)-(p[4].Y()-p[0].Y())/(p[4].X()-p[0].X());
 };
 var r = board.create('glider', [
-                     function() { return board.root(g,(p[0].X()+p[1].X())*0.5); },
+                     function() { return board.root(g,(p[0].X()+p[4].X())*0.5); },
-                     function() { return f(board.root(g,(p[0].X()+p[1].X())*0.5)); },
+                     function() { return f(board.root(g,(p[0].X()+p[4].X())*0.5)); },
                      graph], {name:' ',style:6,fixed:true});
 board.create('tangent', [r], {strokeColor:'#ff0000'});
+/*
 */
 line = board.create('line',[p[0],p[4]],{strokeColor:'#ff0000',dash:1});