Use the level curves of the function z = = f(x, y) to determine if each partial derivative at the point P is positive, negative, or zero. ? ? ? ? ? 1. fxx (P) 2. fyx (P) + 3. fyy (P) ◆ 4. fx (P) 5. fy (P) 2.8 2.4 1.6 1.2 0.8 0.4 o 0 0.4 high med low 0.8 1.2 .Р 1.6 2 2.4 2.8 (Click on graph to enlarge)

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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Use the level curves of the function z = f(x, y) to determine
if each partial derivative at the point P is positive, negative, or
zero.
?
?
?
?
?
1. fxx (P)
+ 2. fyx (P)
3. fyy (P)
◆ 4. fx (P)
5. fy (P)
2.8
2.4
2
1.6
1.2
0.8
0.4
0
0
0.4
high
med
low
0.8
1.2
1.6
X
2
2.4
2.8
(Click on graph to enlarge)
Transcribed Image Text:Use the level curves of the function z = f(x, y) to determine if each partial derivative at the point P is positive, negative, or zero. ? ? ? ? ? 1. fxx (P) + 2. fyx (P) 3. fyy (P) ◆ 4. fx (P) 5. fy (P) 2.8 2.4 2 1.6 1.2 0.8 0.4 0 0 0.4 high med low 0.8 1.2 1.6 X 2 2.4 2.8 (Click on graph to enlarge)
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