What is the maximum rate of change of f

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Reference no: EM131013002

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)?

Reference no: EM131013002

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