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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![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
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1794e57d-98d2-4901-8d81-bce9f4d6a0f9%2Fdc01d914-bd04-428e-ba60-f230d2dbf58c%2Fu5pc9bn_processed.png&w=3840&q=75)
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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