Consider the function g defined by 1 g(x, y) = cos (Ta V) + log3 (r – y Do as indicated. 1. Determine 2. Calculate the instantaneous rate of change of g at the point (4, 1, 2) in the direction of the vector v = (1,2). 3. In what direction does g have the maximum directional derivative at (x, y) = (4, 1)? What is the maximum 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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Consider the function g defined by
1
g(x, y) = cos (Tx V) +
log3 (x – y)
Do as indicated.
1. Determine
2. Calculate the instantaneous rate of change of g at the point (4, 1, 2) in the direction
of the vector v = (1,2).
3. In what direction does g have the maximum directional derivative at (x, y) = (4, 1)?
What is the maximum directional derivative?
Transcribed Image Text:Consider the function g defined by 1 g(x, y) = cos (Tx V) + log3 (x – y) Do as indicated. 1. Determine 2. Calculate the instantaneous rate of change of g at the point (4, 1, 2) in the direction of the vector v = (1,2). 3. In what direction does g have the maximum directional derivative at (x, y) = (4, 1)? What is the maximum directional derivative?
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