Find the unit vector u in which the rate of change ie
1. Let f(x, y, z) = x2y + x √(1 + z).
a. Find the gradient ∇f of f at (1, 2, 3).
b. Find the UNIT vector u in which the rate of change (i.e., directional derivative) of f at (1, 2, 3) maximum.
c. What is the maximum rate of change of f at (1, 2, 3)?
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