Solved: For each of the following functions, determine whether the given stationary
Chapter 6, Problem 7(choose chapter or problem)
For each of the following functions, determine whether the given stationary point corresponds to a local minimum, local maximum, or saddle point: (a) f(x, y) = 3x2 xy + y2 (0, 0) (b) f(x, y) = sin x + y3 + 3xy + 2x 3y (0, 1) (c) f(x, y) = 1 3 x3 1 3 y3 + 3xy + 2x 2y (1, 1) (d) f(x, y) = y x2 + x y2 + xy (1, 1) (e) f(x, y,z) = x3 + xyz + y2 3x (1, 0, 0) (f) f(x, y,z) = 1 4 (x4 +y4+z4)+yzx2y 2z (1, 1, 1)
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