2. Consider the function g defined by 1 g(r, y) = cos (TI/y) + log3 (x – y)* Do as indicated. (a) Determine dydx (6 points) (b) Calculate the instantaneous rate of change of g at the point (4, 1,2) in the direction (5 points) (c) In what direction does g have the maximum directional derivative at (r, y) = (4, 1)? (3 points) of the vector v = (1, 2). What is the maximum directional derivative?
2. Consider the function g defined by 1 g(r, y) = cos (TI/y) + log3 (x – y)* Do as indicated. (a) Determine dydx (6 points) (b) Calculate the instantaneous rate of change of g at the point (4, 1,2) in the direction (5 points) (c) In what direction does g have the maximum directional derivative at (r, y) = (4, 1)? (3 points) of the vector v = (1, 2). What is the maximum directional derivative?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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