Given z = y − x 2 y − 2 x 2 , show that z has neither a maximum nor a minimum at ( 0 , 0 ) , although z has a minimum on every straight line through ( 0 , 0 ) .
Given z = y − x 2 y − 2 x 2 , show that z has neither a maximum nor a minimum at ( 0 , 0 ) , although z has a minimum on every straight line through ( 0 , 0 ) .
Given
z
=
y
−
x
2
y
−
2
x
2
,
show that
z
has neither a maximum nor a minimum at
(
0
,
0
)
,
although
z
has a minimum on every straight line through
(
0
,
0
)
.
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