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Mathematics
Problem
Which of the following statements is ALWAYS true if
f
′
(
a
)
f'(a)
f
′
(
a
)
exists for a real-valued function
f
f
f
? a)
f
′
(
a
)
=
0
f'(a)=0
f
′
(
a
)
=
0
. b)
f
f
f
has a local maximum at
x
=
a
x=a
x
=
a
. c)
f
f
f
is continuous at
x
=
a
x=a
x
=
a
. d)
f
f
f
is differentiable in some open interval containing
a
a
a
.
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