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Mathematics
Problem
Which of the following conditions must be satisfied at
x
=
c
x=c
x
=
c
for
c
c
c
to be a critical number of a function
f
f
f
that is differentiable at
x
=
c
x=c
x
=
c
? a)
f
(
c
)
=
0
f(c)=0
f
(
c
)
=
0
b)
f
′
′
(
c
)
=
0
f''(c)=0
f
′′
(
c
)
=
0
c)
f
′
(
c
)
=
0
f'(c)=0
f
′
(
c
)
=
0
d)
f
′
(
c
)
>
0
f'(c)>0
f
′
(
c
)
>
0
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