Let f(x, y, z) = xy + 2². In this problem, we find the directional derivative of f at (4, -2, 1) in the direction -i +2j - k. First, V f(x, y, z) j+ So, V f(4, -2, 1) j+ A unit vector in the direction of -+2j-k is given by ú j+ k te i + 13 k k Finally, the directional derivative of fat (4, -2, 1) is given by f(4, -2, 1) = Vf(4, -2, 1) u =
Let f(x, y, z) = xy + 2². In this problem, we find the directional derivative of f at (4, -2, 1) in the direction -i +2j - k. First, V f(x, y, z) j+ So, V f(4, -2, 1) j+ A unit vector in the direction of -+2j-k is given by ú j+ k te i + 13 k k Finally, the directional derivative of fat (4, -2, 1) is given by f(4, -2, 1) = Vf(4, -2, 1) u =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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