Find the directions in which the function increases and decreases most rapidly at Po. Then find the derivatives of the function in those directions. f(x,y.z) = In (xy) +5 In (yz) + In (xz), Po(1,1,1)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter6: Rates Of Change
Section6.1: Velocity
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= Homework: HW 14.5 Directional Derivatives and Gradient Vecto
Question 8, 14.5.:
Part 1 of 4
Find the directions in which the function increases and decreases most rapidly at Po. Then find the derivatives of the function in those directions,
f(x,y,z) = In (xy) + 5 In (yz) + In (xz), Po(1,1,1)
Transcribed Image Text:= Homework: HW 14.5 Directional Derivatives and Gradient Vecto Question 8, 14.5.: Part 1 of 4 Find the directions in which the function increases and decreases most rapidly at Po. Then find the derivatives of the function in those directions, f(x,y,z) = In (xy) + 5 In (yz) + In (xz), Po(1,1,1)
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