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Multivariable CalculusMediumPartial Derivatives & the Gradient

Partial Derivatives & the Gradient · Medium problem

A consumer's satisfaction from xx units of good XX and yy units of good YY is U(x,y)=xy2U(x,y) = xy^{2}. At the bundle (4,3)(4,3), find how many units of YY the consumer must give up per additional unit of XX gained, in order to keep UU unchanged (to first order).