2. Calculate the instantaneous rate of change of g at the point (4, 1,0) in the direction of the vector v = (1, 2). %3D 3. In what direction does g have the maximum directional derivative at (x, y) = (4, 1)? What is the minimum directional derivative?

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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g(x, y) = sin (Tvay) + log; (x – 3y)
-
Transcribed Image Text:g(x, y) = sin (Tvay) + log; (x – 3y) -
2. Calculate the instantaneous rate of change of g at the point (4, 1,0) in the direction
of the vector v =
(1, 2).
3. In what direction does g have the maximum directional derivative at (æ, y) = (4, 1)?
%3D
What is the minimum directional derivative?
Transcribed Image Text:2. Calculate the instantaneous rate of change of g at the point (4, 1,0) in the direction of the vector v = (1, 2). 3. In what direction does g have the maximum directional derivative at (æ, y) = (4, 1)? %3D What is the minimum directional derivative?
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