Suppose we have a function where
(
1
,
4
)
\displaystyle {\left({1},{4}\right)}
(
1
,
4
)
is a critical point,
D
(
1
,
4
)
<
0
\displaystyle {D}{\left({1},{4}\right)}<{0}
D
(
1
,
4
)
<
0
, and
f
x
x
(
1
,
4
)
>
0
\displaystyle {{f}_{{{x}{x}}}{\left({1},{4}\right)}}>{0}
f
x
x
(
1
,
4
)
>
0
. What kind of point does
f
\displaystyle {f}
f
have at
(
1
,
4
)
\displaystyle {\left({1},{4}\right)}
(
1
,
4
)
?
Local maximum
Cannot determine
Local minimum
Saddle point
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