Q2) [ Given the function f(x,y)=x²-6x+y²-6y+8 a) Find all critical points of f. b) Find the maximum rate of change of f at the point (2,-2) and the direction in which it occurs. { c) At what point(s) the rate of change of f in the directions of i and j is zero?

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A: Given:- A tetrahedron with vertices (0,0,0), (3, 0, 0), (0,6 0), and (0, 0, 4).

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A: Here, the given function is: f(x)=19x+24

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