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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Consider the function of two variables 

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: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?
Consider the function g defined by
1
g(x, y) = cos (7x/T)-
log3 (r – y)
Transcribed Image Text:Consider the function g defined by 1 g(x, y) = cos (7x/T)- log3 (r – y)
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