I am struggling with this question . Find the directional derivative of ƒ (x, y, z) = 6 xy² – 4 yz² — z²at P = (3, 2, −4) in the direction of (−2, −3,−2).D(-2,-3,-2)ƒ|(3,2,—4)absin (a)abәsin (a)əxWhat is the maximum rate of increase of f at P?▼ƒ\(3,2,—4)|ə=əxf8f∞α8ΩΩ

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Answered: Find the directional derivative of ƒ…

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 – 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