Question: Please help me understand this in as much detail as possible. Thank you. It is for intermediate calculus 8.(a) 8. For the function h(x, y)

Please help me understand this in as much detail as possible. Thank you.

It is for intermediate calculus

8.(a) 8. For the function h(x, y) = 3xy2 + x3 - 3x2 - 3y2, (a) find all critical points and classify them as local maxima, local minima, or saddle points. (5 pts) (b) Use the method of Lagrange multipliers to find the maximum and minimum of h(x, y) subject to the constraint x2 + y2 = 4, and then find the maximum and minimum on the region x2 + y2 s 4. (5 pts)

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