Question: Question 16 (16 points) Consider the following function of two variables f(x, y) = 2 0 2 0 + 3 y 3 x 2 +

Question 16 (16 points) Consider the following function of two variables f(x, y) = 2020+3y3x2+4xy

(a) (4 points) Calculate fx and fy, the first order partial derivatives.

(b) (6 points) Find all the critical points.

c) (6 points) Identify what type of critical points they are (local max, local min or saddle point)

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