Question: A surface S is given by the function S : z = f(x,y) = x3 + y - 12x + 6y (a) Determine the equation

A surface S is given by the function S : z = f(x,y) = x3 + y - 12x + 6y (a) Determine the equation of the tangent plane to the graph of S at the input point (-1, 4). (b) Use the Second Partials Test to identify maxima/minima/saddle points on the surface; show your steps as clearly as you can

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