Calculate the directional derivative of g(x, y, z) = x In (y + z) in the direction v = 5i – 4j + 4k at the point P = (8, e, e). Remember to use a unit vector in directional derivative computation. (Use symbolic notation and fractions where needed.) Dyg(8, e, e) =

Calculate the directional derivative of g(x, y, z) = x In (y + z) in the direction v = 5i – 4j + 4k at the point P = (8, e, e). Remember to use a unit vector in directional derivative computation. (Use symbolic notation and fractions where needed.) Dyg(8, e, e) =

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.1: Length And Dot Product In R^n

Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...

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Question

Calculate the directional derivative of g(x, y, z) = x In (y + z) in the direction v = 5i – 4j + 4k at the point P = (8, e, e).
Remember to use a unit vector in directional derivative computation.
(Use symbolic notation and fractions where needed.)
Dyg(8, e, e) =

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