Question: 2. Consider the function f:R? R defined by f(z,y) = +y* 3ey. (a) Show that f has exactly one critical point. (b) Show that the

2. Consider the function f:R? R defined by f(z,y) = +y* 3e\"y. (a) Show that f has exactly one critical point. (b) Show that the critical point is a local minimizer but not a global minimizer of f. (This shows that the property found in the foregoing problem is in fact a property that is unique to the one-dimensional setting.)

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