5. X, a A class is asked to find a local minimum of a function g(x,y). They find that the gradient of the function is Vg
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5. X, a A class is asked to find a local minimum of a function g(x,y). They find that the gradient of the function is Vg
5. X, a A class is asked to find a local minimum of a function g(x,y). They find that the gradient of the function is Vg=< x5 + 2xy2 +1, 2x2y +y >. Students suggest the following possibilities. Exactly one of 25 the possibilities is a local minimum points, while the rest are not local minimum point. Determine which points correspond to a local minimum and which do not, explaining your reasoning. Note that just like every other problem it is acceptable to identify the correct answer through process of elimination. A. (0,0) B. (-1,0) C. (-2,0) D. (1,2) E. (1,3)
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