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Mathematics
Problem
A function is defined by
f
(
x
)
=
a
x
p
f(x)=a x^{p}
f
(
x
)
=
a
x
p
, where
a
a
a
and
p
p
p
are nonzero constants. If
f
′
(
x
)
=
12
x
3
f'(x)=12x^{3}
f
′
(
x
)
=
12
x
3
for all real
x
x
x
, which of the following ordered pairs
(
a
,
p
)
(a,p)
(
a
,
p
)
satisfies this condition? a)
(
12
,
4
)
(12,4)
(
12
,
4
)
b)
(
3
,
4
)
(3,4)
(
3
,
4
)
c)
(
4
,
3
)
(4,3)
(
4
,
3
)
d)
(
6
,
2
)
(6,2)
(
6
,
2
)
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