(1) Find local maximum and minimum values and saddle point(s) of each function. The use a graphing tool to verify your computations. (Don't provide any graphs, just your analysis). (a) f(x, y) = 2 – xª + 2x² – y² (c) f(x, y) = x² + xy? – 2x + 1 (b) f(x, y) = xª + 2y² – 4æy

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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(1) Find local maximum and minimum values and saddle point(s) of cach function.
The use a graphing tool to verify your computations. (Don't provide any graphs,
just your analysis).
(a) f(x, y) = 2 – xª + 2x? – y? (c) f(x, y) = x? + xy? – 2x + 1
(b) f(x, y) = x4 + 2y2 – 4.xy
Transcribed Image Text:(1) Find local maximum and minimum values and saddle point(s) of cach function. The use a graphing tool to verify your computations. (Don't provide any graphs, just your analysis). (a) f(x, y) = 2 – xª + 2x? – y? (c) f(x, y) = x? + xy? – 2x + 1 (b) f(x, y) = x4 + 2y2 – 4.xy
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