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Mathematics
Mathematics
Problem
A function
F
F
F
is given by
F
(
x
)
=
C
x
r
F(x) = C x^{r}
F
(
x
)
=
C
x
r
, with constants
C
>
0
C > 0
C
>
0
and
r
>
0
r > 0
r
>
0
. It is known that
F
′
(
1
)
=
6
F'(1) = 6
F
′
(
1
)
=
6
and
F
′
(
3
)
=
54
F'(3) = 54
F
′
(
3
)
=
54
. Determine
r
r
r
.
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