Find the directions of maximum and minimum change of f at the given point, and the values of the maximum and minimum rates of change. f{x, y) = 4y²e*, (2, –4) The maximum change is 32e V37 ; in the direction (-192e“, 32e®); The minimum change is –32e V37 ; in the direction (192e", -32e). The maximum change is 32e6 The minimum change is –32e 6 V37 :; in the direction (192e, -32e ). V37 ; in the direction (-192e6, 32e ); The maximum change is 32e V37 ; in the direction (192e, -32e); The minimum change is –32e V37 ; in the direction (-192e", 32e). The maximum change is 32e V37 ; in the direction (192e , –32e ); The minimum change is –32e 6 V37 ; in the direction (-192e“, 32e).
Find the directions of maximum and minimum change of f at the given point, and the values of the maximum and minimum rates of change. f{x, y) = 4y²e*, (2, –4) The maximum change is 32e V37 ; in the direction (-192e“, 32e®); The minimum change is –32e V37 ; in the direction (192e", -32e). The maximum change is 32e6 The minimum change is –32e 6 V37 :; in the direction (192e, -32e ). V37 ; in the direction (-192e6, 32e ); The maximum change is 32e V37 ; in the direction (192e, -32e); The minimum change is –32e V37 ; in the direction (-192e", 32e). The maximum change is 32e V37 ; in the direction (192e , –32e ); The minimum change is –32e 6 V37 ; in the direction (-192e“, 32e).
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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Transcribed Image Text:Find the directions of maximum and minimum change of f at the given point, and the values of the
maximum and minimum rates of change.
f{x, y) = 4y²e*, (2, –4)
The maximum change is 32e V37 ; in the direction (-192e“, 32e®);
The minimum change is –32e V37 ; in the direction (192e", -32e).
The maximum change is 32e6
The minimum change is –32e 6 V37 :; in the direction (192e, -32e ).
V37 ; in the direction (-192e6, 32e );
The maximum change is 32e V37 ; in the direction (192e, -32e);
The minimum change is –32e V37 ; in the direction (-192e", 32e).
The maximum change is 32e V37 ; in the direction (192e ,–32e );
The minimum change is –32e 6 V37 :; in the direction (-192e, 32e ).
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