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) = - 9x + 18xy-y +81y: (-3, - 3). (9,9) What is the nature of the function at (-3, - 3)? O A. f(x.y) has neither a relative maximum nor a relative minimum at (-3,-3). O B. f(x.y) has a relative maximum at (-3, - 3). OC. f(x.y) has a relative minimum at (-3,-3). O D. The second-derivative test is inconclusive at (-3, -3). What is the nature of the function at (9,9)? O A. f(x.y) has neither a relative maximum nor a relative minimum at (9,9). O B. f(x.y) has a relative minimum at (9,9). OC. f(x.y) has a relative maximum at (9,9). O D. The second-derivative test is inconclusive at (9,9).

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