Secondary Math Blogaroony: PROBLEM: Why should the graphs of $f(x,y)=x^2+y^2$ and $g(x,y)=-x^2-y^2+xy^3$ be called 'tangent' at $(0,0)$?

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Tuesday, 30 September 2008

PROBLEM: Why should the graphs of $f(x,y)=x^2+y^2$ and $g(x,y)=-x^2-y^2+xy^3$ be called 'tangent' at $(0,0)$ ?

PROBLEM: Why should the graphs of

$f(x,y)=x^2+y^2$ and

$g(x,y)=-x^2-y^2+xy^3$ be called 'tangent' at

$(0,0)$ ?

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