Problem of critical point solution.

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George Co
George Co on 7 Nov 2015
Commented: Walter Roberson on 8 Nov 2015
I have a problem with function below. The answer below means that there is only one critical point, but the graph tells me there are 5 points.
syms x y
f=(2*x^2+8*y^2-4*x)/exp(x^2+y^2-2*x-1);
gradf = jacobian(f,[x,y]);
hessmatf = jacobian(gradf,[x,y]);
[xcr,ycr]=solve(gradf(1),gradf(2));
Cannot solve symbolically. Returning a numeric approximation instead.
> In solve at 306
In criticalpoint at 5
ans =
[ -0.4142135623730950488016887242097, 0]
  3 Comments
Walter Roberson
Walter Roberson on 8 Nov 2015
You would get that result if you were to paste the lines of code in to the console.
Walter Roberson
Walter Roberson on 8 Nov 2015
It does appear to have given up on the solve() too easily. Which version are you using?

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