Question
Asked Oct 7, 2019
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Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
f(x, y) xy - 4xy 8
128
local maximum value(s)
X
DNE
local minimum value(s)
X
(x, y,n (0,0,4)
saddle point(s)
X
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Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x, y) xy - 4xy 8 128 local maximum value(s) X DNE local minimum value(s) X (x, y,n (0,0,4) saddle point(s) X

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Expert Answer

Step 1

Consider the given function

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f(x, y) x y-4xy +8 = X+

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Step 2

 Then locate the critical points

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f'4x-4y 4х3 S, - 4y' 3 — 4х

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Step 3

Now make this partial derivative ...

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Tagged in

Math

Calculus