Question: Given the function z = x 3 + y 3 - 6xy : i. Find its derivative at (1, 2, -3) in the direction (0.6,

Given the function z = x3 + y3 - 6xy:

i. Find its derivative at (1, 2, -3) in the direction (0.6, 0, 0.4).

ii. Find the equation of the tangent plane at (1, 2, -3).

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