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Mathematics
Mathematics
Problem
Which of the following is the correct condition for a point
x
=
c
x=c
x
=
c
to be a critical point of a differentiable function
f
f
f
defined on an open interval? a)
f
′
′
(
c
)
=
0
f''(c)=0
f
′′
(
c
)
=
0
b)
f
′
(
c
)
=
0
or
f
′
is not defined at
c
f'(c)=0 \text{ or } f' \text{ is not defined at } c
f
′
(
c
)
=
0
or
f
′
is not defined at
c
c)
f
(
c
)
=
0
f(c)=0
f
(
c
)
=
0
d)
f
′
(
c
)
=
0
and
f
′
′
(
c
)
=
0
f'(c)=0 \text{ and } f''(c)=0
f
′
(
c
)
=
0
and
f
′′
(
c
)
=
0
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