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Find the directions in which f increases and decreases most rapidly at point P. Then find the derivatives of ƒ in these directions. f(x, y) = 3x² + 2xy+ 4y², P = (7, 8) Direction of fastest increase is Direction of fastest decrease is Derivative in the direction of fastest increase is Derivative in the direction of fastest decrease is

Find the directions in which f increases and decreases most rapidly at point P. Then find the derivatives of ƒ in these directions. f(x, y) = 3x² + 2xy+ 4y², P = (7, 8) Direction of fastest increase is Direction of fastest decrease is Derivative in the direction of fastest increase is Derivative in the direction of fastest decrease is

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 directions in which f increases and decreases most rapidly at point P. Then find the derivatives of f in these directions. f(x, y) = 3x? + 2xy+ 4y², P = (7,8) Direction of fastest increase is Direction of fastest decrease is Derivative in the direction of fastest increase is Derivative in the direction of fastest decrease is f(х, у) — х? у + е2хy sin(y), Р 3 (-3, 0) Direction of fastest increase is Direction of fastest decrease is Derivative in the direction of fastest increase is Derivative in the direction of fastest decrease is
Transcribed Image Text:Find the directions in which f increases and decreases most rapidly at point P. Then find the derivatives of f in these directions. f(x, y) = 3x? + 2xy+ 4y², P = (7,8) Direction of fastest increase is Direction of fastest decrease is Derivative in the direction of fastest increase is Derivative in the direction of fastest decrease is f(х, у) — х? у + е2хy sin(y), Р 3 (-3, 0) Direction of fastest increase is Direction of fastest decrease is Derivative in the direction of fastest increase is Derivative in the direction of fastest decrease is
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