Find the rate of change of ƒ (x, y, z) = 6xyz in the direction normal to the surface yx² + xy² + yz² = 7 at (1, 1, 1). (Use symbolic notation and fractions where needed.) rate of change: 24 √√74

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 18E
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Find the rate of change of ƒ (x, y, z) = 6xyz in the direction normal to the surface yx² + xy² + yz² = 7 at (1, 1, 1).
(Use symbolic notation and fractions where needed.)
rate of change:
24
√√74
Transcribed Image Text:Find the rate of change of ƒ (x, y, z) = 6xyz in the direction normal to the surface yx² + xy² + yz² = 7 at (1, 1, 1). (Use symbolic notation and fractions where needed.) rate of change: 24 √√74
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