Find the gradient of the function f(x, y, z) = z²e²y² When is the directional derivative of f a maximum? When is the directional derivative of f a minimum? When is the directional derivative 0? When is the directional derivative half of its maximum?
Find the gradient of the function f(x, y, z) = z²e²y² When is the directional derivative of f a maximum? When is the directional derivative of f a minimum? When is the directional derivative 0? When is the directional derivative half of its maximum?
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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Transcribed Image Text:5. Find the gradient of the function f(x, y, z) = z²e¹²
(a) When is the directional derivative of f a maximum?
(b) When is the directional derivative of f a minimum?
(c) When is the directional derivative 0?
(d) When is the directional derivative half of its maximum?
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