If function $f:\mathbb{R}^2 \to \mathbb{R}^2,\;(x,y) \mapsto (x^2+y,y^2+x)$ Then What about continuity and Derivative at $(0,0)$? And how to find $Df(x,y)$ ?
Higher order derivative From $f:\mathbb{R}^2 \to \mathbb{R}^2$
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real-analysis
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1Looks like homework... – 2012-10-02