Extended mean value theorem: Difference between revisions

Revision as of 15:04, 29 January 2019

@@ Line 9: / Line 9: @@
 p[3] = board.create('point', [3,-2], {size:2});
+// Curve
 var fg = board.create('curve', JXG.Math.Numerics.Neville(p),{strokeWidth:5,strokeOpacity:0.5});
 var graph = board.create('curve', [fg]);
-/*
-var g = function(x) {
+// Secant
-     return JXG.Math.Numerics.D(f)(x)-(p[1].Y()-p[0].Y())/(p[1].X()-p[0].X());
+line = board.create('line',[p[0],p[3]],{strokeColor:'#ff0000',dash:1});
+var df =  return JXG.Math.Numerics.D(fg[0]);
+var dg =  return JXG.Math.Numerics.D(fg[1]);
+var quot = function(t) {
+     return df(t) / dg(t) - (p[3].Y() - p[0].Y()) / (p[3].X() - p[0].X());
 };
 var r = board.create('glider', [
-                     function() { return JXG.Math.Numerics.root(g,(p[0].X()+p[1].X())*0.5); },
+                     function() { return fg[0](JXG.Math.Numerics.root(quot, (p[3] - p[2]) * 0.5)); },
-                     function() { return f(JXG.Math.Numerics.root(g,(p[0].X()+p[1].X())*0.5)); },
+                     function() { return fg[1](JXG.Math.Numerics.root(quot, (p[3] - p[2]) * 0.5)); },
-                     graph], {name:' ',size:4,fixed:true});
+                     graph], {name:'',size:4,fixed:true});
 board.create('tangent', [r], {strokeColor:'#ff0000'});
-line = board.create('line',[p[0],p[1]],{strokeColor:'#ff0000',dash:1});
-*/
 board.unsuspendUpdate();
 </jsxgraph>