Consider the following. f(x, y, z) = x²yz - xyz, P(6, -1, 1), u = (0, (a) Find the gradient of f. vf(x, y, z) = 2xyz - yz,xz (2xyz - yz8,x²z-xz8x2y (b) Evaluate the gradient at the point P. Vf(6, -1, 1) = - 8xyz) (c) Find the rate of change of fat P in the direction of the vector u. Duf(6, -1, 1) =
Consider the following. f(x, y, z) = x²yz - xyz, P(6, -1, 1), u = (0, (a) Find the gradient of f. vf(x, y, z) = 2xyz - yz,xz (2xyz - yz8,x²z-xz8x2y (b) Evaluate the gradient at the point P. Vf(6, -1, 1) = - 8xyz) (c) Find the rate of change of fat P in the direction of the vector u. Duf(6, -1, 1) =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 25E
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