Consider and know that the function g defined by 1 g(x, y) = cos (Tx /y) + log3(x – y) | Answer the following: a) Determine b) Calculate/solve the instantaneous rate of change of g at the point (4, 1, 2) in the direction of the vector v = (1,2) c) In what direction does g have the maximum directional derivative at (x,y) = (4,1)? What is the maximum directional derivative?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...
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Consider and know that the function g defined by
1
g(x, y) = cos (Tx/Y) +
log3 (x – y)
Answer the following:
a) Determine
dydx
b) Calculate/solve the instantaneous rate of change of g at the
point (4, 1, 2) in the direction of the vector v = (1,2)
c) 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 and know that the function g defined by 1 g(x, y) = cos (Tx/Y) + log3 (x – y) Answer the following: a) Determine dydx b) Calculate/solve the instantaneous rate of change of g at the point (4, 1, 2) in the direction of the vector v = (1,2) c) 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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