Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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please double check your answer. All this is a 1 question so answer the whole question.

1. Each of the following functions has a critical point at (0,0). Show that the second derivative test
is inconclusive for all three functions. Then classify the point (0,0) as a local maximum, local
minimum, or saddle point using a graph.
f(x, y) = x4 + y4
• f(x, y) = 16 – x* – y4
• f(x,y) = x+ – y4
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Transcribed Image Text:1. Each of the following functions has a critical point at (0,0). Show that the second derivative test is inconclusive for all three functions. Then classify the point (0,0) as a local maximum, local minimum, or saddle point using a graph. f(x, y) = x4 + y4 • f(x, y) = 16 – x* – y4 • f(x,y) = x+ – y4
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