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Seekor semut berada pada permukaan dengan fungsi ketinggian $f(x,y)=-xye^{-x^2-y^2}$. Pada arah vektor satuan mana semut harus bergerak agar menaik secepat mungkin, bila mula-mula titik awal semut adalah $(-1,1)$? Kemudian taksir ketinggian semut setelah bergerak dalam arah tersebut sejauh $1$ satuan di bidang-xy (Gunakan deret Taylor orde 1)

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Ke arah $\\frac{1}{\\sqrt{2}}\\langle a, b \\rangle$, dengan $a =$ [[0]] dan $b = $ [[1]]

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Hampiran $f(x,y)\\approx $

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(Tuliskan dalam bentuk bilangan desimal hingga tiga digit di belakang koma. Jangan lupa, notasi koma menggunakan titik . )

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