Suppose that f(x, y, z) = x²yz — xyz³ is a function of three variables. 1. Find the gradient of f(x, y, z). Answer: Vf(x

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Suppose That F X Y Z X Yz Xyz Is A Function Of Three Variables 1 Find The Gradient Of F X Y Z Answer Vf X 1 (155.47 KiB) Viewed 7 times

Suppose that f(x, y, z) = x²yz — xyz³ is a function of three variables. 1. Find the gradient of f(x, y, z). Answer: Vf(x, y, z) = 2. Evaluate the gradient at the point P(-1, -2,2). Answer: Vf(-1, -2, 2) = <24,10,-26> 3. Find the rate of change of f(x, y, z) at P in the direction of the vector u = (0,,-). Answer: Du f(-1, -2, 2) = -38/5