f(x, y, z) = √x + yz, P(1, 1, 3), u = <3/7, 2/7, 6/7> (a) Find the gradient of f. Vf(x, y, z) = < (b) Evaluate the gradient at the point P. Vf(1, 1, 3) = < (c) Find the rate of change of f at P in the direction of the vector u. Duf(1, 1, 3) =
f(x, y, z) = √x + yz, P(1, 1, 3), u = <3/7, 2/7, 6/7> (a) Find the gradient of f. Vf(x, y, z) = < (b) Evaluate the gradient at the point P. Vf(1, 1, 3) = < (c) Find the rate of change of f at P in the direction of the vector u. Duf(1, 1, 3) =
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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