#8862: failing resolution of a nonlinear system by solve
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Reporter: casamayou | Owner: burcin
Type: enhancement | Status: new
Priority: minor | Milestone: sage-4.4.2
Component: calculus | Keywords: solve
Author: Alexandre Casamayou | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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We search the critical points of the function x|-> (x**2 + y**2)^x
This function has four critical points : ±(0,1) and ±(1/e,0)
However the function solve can not find any of this.
More, solve returns (0,0) which is not a critical point since f is not
differentiable at (0,0) !
{{{
sage: var('x y')
sage: f(x,y) = (x^2 + y^2)^x
sage: solve([diff(f(x,y), x), diff(f(x,y), y)], x, y)
[[x == 0, y == 0]]
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8862>
Sage <http://www.sagemath.org>
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