. Let f(x, y) = x3³-3x+3xy2. Then f has critical points (0, -1), (0, 1), (-1,0), and (1,0). Use the Second Derivative Test to determine whether each critical point corresponds to a local maximum, a local minimum, or a saddle point. (S-2)

Q: Use the second derivative test to identify any critical points and determine whether each critical…

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Q: Find the local maximum, local minimum, and saddle point(s) if any for f(x,y) = x+xy+y'.

A: The given function is . The local maximum, minimum and saddle points are calculated by partial…