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Consider the function g defined by 1 g(x, y) = cos (TaV) + log3 (r-y) Do as indicated. 1. Determine dydx 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 (TaV) + log3 (r-y) Do as indicated. 1. Determine dydx 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?

Calculus For The Life Sciences
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 2CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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Consider the function g defined by 1 g(x, y) = cos (TI /T)+ 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 (TI /T)+ 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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