If f(x, y, z) = 3xy + z² and u is the unit vector in the direction of (3, -3, -4), then the directional derivative at the point (-4, 4, 3) in the direction of u is fu (−4, 4, 3) = Du f(−4, 4, 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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If f(x, y, z) = 3xy + z² and u is the unit vector in the
direction of (3, -3, −4), then the directional derivative
at the point (-4, 4, 3) in the direction of u is
fu (−4, 4, 3) = Du ƒ(–4, 4, 3) = ¯
Transcribed Image Text:If f(x, y, z) = 3xy + z² and u is the unit vector in the direction of (3, -3, −4), then the directional derivative at the point (-4, 4, 3) in the direction of u is fu (−4, 4, 3) = Du ƒ(–4, 4, 3) = ¯
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