(Solved) Let F: R^2 \rightarrow R^4 be the function given by F(x, y)=(x y, x^2 y^2, x+y, x-y^2). Calculate the differential D F(a,
Question: Let \(F: \mathbb{R}^{2} \rightarrow \mathbb{R}^{4}\) be the function given by \(F(x, y)=\left(x y, x^{2} y^{2}, x+y, x-y^{2}\right)\). Calculate the differential \(\mathrm{D} F(a, b)\)
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