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Examine the function f(x, y) = 2x 2 + 2xy + y 2 + 2x −...

Examine the function f(x, y) = 2x 2 + 2xy + y 2 + 2x − 3 for relative extrema.

Use the Second Partials Test to determine whether there is a relative maximum, relative minimum, a saddle point, or insufficient information to determine the nature of the function f(x, y) at the critical point (x0, y0), such that fxx(x0, y0) = −3, fyy(x0, y0) = −8, fxy(x0, y0) = 2.

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