6. Suppose the function of two variables f has the critical points (0,0), and (2, 10) . Use the Second Derivative Test to determine if these critical points (0,0), and (2, 10) , lead to local maximums, local minimums, or saddle points. Assume: fr(x, y) 10 y – 25 x2 fy(x, y) 10 x – 2 y
6. Suppose the function of two variables f has the critical points (0,0), and (2, 10) . Use the Second Derivative Test to determine if these critical points (0,0), and (2, 10) , lead to local maximums, local minimums, or saddle points. Assume: fr(x, y) 10 y – 25 x2 fy(x, y) 10 x – 2 y
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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Transcribed Image Text:6. Suppose the function of two variables f has the critical points (0,0), and (2, 10) .
Use the Second Derivative Test to determine if these critical points (0,0), and
(2, 10) , lead to local maximums, local minimums, or saddle points.
Assume: f-(x, y)
10 y – 25 x?
fy(r, y)
10α-2y
=
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