Question: In Exercises, both first partial derivatives of the function f (x, y) are zero at the given points. Use the second-derivative test to determine the

In Exercises, both first partial derivatives of the function f (x, y) are zero at the given points. Use the second-derivative test to determine the nature of f (x, y) at each of these points. If the second-derivative test is inconclusive, so state.

f (x, y) = 6xy2 - 2x3 - 3y4; (0, 0), (1, 1), (1, -1)

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