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Mathematics
Problem
A function is defined by
f
(
x
)
=
k
x
r
f(x)=k x^{r}
f
(
x
)
=
k
x
r
, where
k
k
k
and
r
r
r
are constants. The graph of
f
f
f
passes through
(
2
,
8
)
(2,8)
(
2
,
8
)
, and the derivative satisfies
f
′
(
2
)
=
12
f'(2)=12
f
′
(
2
)
=
12
. What is the value of
r
r
r
? a) 2 b) \dfrac{3}{2} c) 3 d) \dfrac{3}{4}
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