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Algebra & Trigonometry with Analytic Geometry

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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Question

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 =

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