A) Find and classify the critical points of f(z, y) = x³ + y3 – 6y? – 3.x + 9 using the first and second derivative tests.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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These two questions are from multivariable calculus.

A) Find and classify the critical points of f(2, y) = x³ + y3 – 6y² – 3x + 9 using the first and
second derivative tests.
F. Refer to the figure where the gradient vectors of z = f (x, y) are plotted. Are A and B
constrained max/min/neither? Classify C and D as unconstrained max/min/saddles.
y と
->
个下K
オロ
2ト
Transcribed Image Text:A) Find and classify the critical points of f(2, y) = x³ + y3 – 6y² – 3x + 9 using the first and second derivative tests. F. Refer to the figure where the gradient vectors of z = f (x, y) are plotted. Are A and B constrained max/min/neither? Classify C and D as unconstrained max/min/saddles. y と -> 个下K オロ 2ト
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