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Find the directional derivative of ƒ (x, y, z) = 6 xy² – 4yz² — z² at P = (3, 2, -4) in the direction of (-2, -3, -2). D(-2,-3,-2)ƒ|(3,2,-4) ab sin (a) ab sin (a) ə f əx What is the maximum rate of increase of f at P? Vƒ|(3,2,-4) - ə · f əx 8 a a a a

Find the directional derivative of ƒ (x, y, z) = 6 xy² – 4yz² — z² at P = (3, 2, -4) in the direction of (-2, -3, -2). D(-2,-3,-2)ƒ|(3,2,-4) ab sin (a) ab sin (a) ə f əx What is the maximum rate of increase of f at P? Vƒ|(3,2,-4) - ə · f əx 8 a a a a

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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Find the directional derivative of ƒ (x, y, z) = 6 xy² – 4 yz² — z² at P = (3, 2, −4) in the direction of (−2, −3,−2). D(-2,-3,-2)ƒ|(3,2,—4) ab sin (a) ab ә sin (a) əx What is the maximum rate of increase of f at P? ▼ƒ\(3,2,—4)| ə = əx f 8 f ∞ α 8 Ω Ω
Transcribed Image Text:Find the directional derivative of ƒ (x, y, z) = 6 xy² – 4 yz² — z² at P = (3, 2, −4) in the direction of (−2, −3,−2). D(-2,-3,-2)ƒ|(3,2,—4) ab sin (a) ab ә sin (a) əx What is the maximum rate of increase of f at P? ▼ƒ\(3,2,—4)| ə = əx f 8 f ∞ α 8 Ω Ω
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