Consider the function g defined by g(x, y) = sin (T /Ty) + log3 (x – 3y) Do as indicated. 1. Determine dydx" 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 (x, y) = (4, 1)? What is the minimum directional derivative?

Consider the function g defined by g(x, y) = sin (T /Ty) + log3 (x – 3y) Do as indicated. 1. Determine dydx" 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 (x, y) = (4, 1)? What is the minimum 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.

Chapter14: Discrete Dynamical Systems

Section14.3: Determining Stability

Problem 15E

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