3. Consider the function f(2, y) = x° + 7a? + 2æy + y? – 19r – 4y + 1. Find all critical points of f and classify them according to the second derivative test, showing all working to justify your answers.

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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3. Consider the function
f(x, y) = 2° + 7æ? + 2æy + y? – 19x – 4y + 1.
Find all critical points of f and classify them according to the second
derivative test, showing all working to justify your answers.
Transcribed Image Text:3. Consider the function f(x, y) = 2° + 7æ? + 2æy + y? – 19x – 4y + 1. Find all critical points of f and classify them according to the second derivative test, showing all working to justify your answers.
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