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1. For f(x, y, z) = xy + yz + xz, determine the directional derivative at (1,-1, 2) in the direction of (3, 6, -2). At that point, what are the directions of the largest ascent and largest descent? What are the directional derivatives in those directions? Does your first answer in this question lie between the two values?

1. For f(x, y, z) = xy + yz + xz, determine the directional derivative at (1,-1, 2) in the direction of (3, 6, -2). At that point, what are the directions of the largest ascent and largest descent? What are the directional derivatives in those directions? Does your first answer in this question lie between the two values?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. For f(x, y, z) = xy + yz + xz, determine the directional derivative at (1,-1,2) in the direction of (3, 6, -2). At that point, what are the directions of the largest ascent and largest descent? What are the directional derivatives in those directions? Does your first answer in this question lie between the two values?
Transcribed Image Text:1. For f(x, y, z) = xy + yz + xz, determine the directional derivative at (1,-1,2) in the direction of (3, 6, -2). At that point, what are the directions of the largest ascent and largest descent? What are the directional derivatives in those directions? Does your first answer in this question lie between the two values?
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