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Mathematics
Problem
If a function
f
f
f
is differentiable at
x
=
a
x=a
x
=
a
, which one of the following must be true? a)
f
′
f'
f
′
is continuous at
x
=
a
x=a
x
=
a
b)
f
f
f
is continuous at
x
=
a
x=a
x
=
a
c)
f
′
(
a
)
=
0
f'(a)=0
f
′
(
a
)
=
0
d)
f
f
f
has a local maximum at
x
=
a
x=a
x
=
a
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