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Question

Find the critical points, relative extrema, and saddle points of the function. (If an answer does not exist, enter

DNE.)


f(xy) = x3 + y3 − 12x2 + 18y2 + 48x + 108y + 162


Relative maximum of f(xy) = at (xy) =.


Relative minimum of f(xy) = at (xy) =.


saddle point of f(xy) = at (xy) =.


List the critical point for which the Second-Partials Test fails. (x,y)=

Top Answer

the only critical point is (4, -6) and... View the full answer

WhatsApp Image 2020-01-07 at 6.32.05 AM.jpeg

f ( x,4 ) = 13 + 43 - 12x12 + 1842 +48x + 1084+ 162
of = 3 x 2 -24 x + 48
of = 34 + 364 + 108
LO
4 0
of =0, of=0
dy
3x - 24x + 48 = 0
34 2+ 364 + 108 = 0
2 - 8x +16 =0
42 + 124 + 36 = 0
( x - 4 ) =...

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