Determine the direction where the function below decrease most rapidly at the point (1, 1, 1). f (x, y, z) = ln(xy) + ln(yz) + ln(xz) [-1,0,0] O [1,1,1] O[-2,1,3]¹/√14 O [-1,-1,-1]¹/√√3

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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Determine the direction where the function
below decrease most rapidly at the point (1,
1, 1).
f (x, y, z) = ln(xy) + ln(yz) + ln(xz)
[-1, 0, 0]
O [1,1,1]
O[-2,1,3]¹/√14
O [-1,-1,-1]¹/√3
Transcribed Image Text:Determine the direction where the function below decrease most rapidly at the point (1, 1, 1). f (x, y, z) = ln(xy) + ln(yz) + ln(xz) [-1, 0, 0] O [1,1,1] O[-2,1,3]¹/√14 O [-1,-1,-1]¹/√3
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