Find the local maximum and minimum values and saddle point(s) of the function. I

Question

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 NONE in any unused answer blanks.)

f(x, y) = 2 - 2x + 4y - x2 - 4y2

maximum
f(  ,  ) =  (smaller x value)
f(  ,  ) =  (larger x value)
minimum
f(  ,  ) =  (smaller x value)
f(  ,  ) =  (larger x value)
saddle points
(  ,  ) (smallest x value)
(  ,  ) (largest x value)

Explanation / Answer

Using CAS,

Maximum is at

f(-1, 1/2) = 4

NONE

===============

Minimum is

NONE

NONE

==================

Saddle point is at

NONE

NONE

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