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 a relative minimum at (- 3, - 3). O B. f(x,y) has neither a relative maximum nor a relative minimum at (-3, - 3). O C. f(x,y) has a relative maximum 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 a relative minimum at (9,9). O B. f(x,y) has neither a relative maximum nor a relative minimum at (9,9). O C. f(x,y) has a relative maximum at (9,9). O D. The second-derivative test is inconclusive at (9,9).

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 a relative minimum at (- 3, - 3). O B. f(x,y) has neither a relative maximum nor a relative minimum at (-3, - 3). O C. f(x,y) has a relative maximum 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 a relative minimum at (9,9). O B. f(x,y) has neither a relative maximum nor a relative minimum at (9,9). O C. f(x,y) has a relative maximum at (9,9). O D. The second-derivative test is inconclusive at (9,9).

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.CR: Chapter 4 Review

Problem 35CR

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