at is the maximum rate of change of f (x, y,z) at P?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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a) Find the directional derivative f (x, y,z) = x In(y+z) at point P (2, e, e) in the direction of the vector V =< 2,–1,1>
Transcribed Image Text:a) Find the directional derivative f (x, y,z) = x In(y+z) at point P (2, e, e) in the direction of the vector V =< 2,–1,1>
In which direction does f(x, y,z) change most rapidly at P?
What is the maximum rate of change of f(x, y, z) at P?
Transcribed Image Text:In which direction does f(x, y,z) change most rapidly at P? What is the maximum rate of change of f(x, y, z) at P?
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