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Mathematics
Problem
A differentiable function
f
f
f
is defined by
f
(
x
)
=
x
r
f(x)=x^{r}
f
(
x
)
=
x
r
. Given that
f
′
(
1
)
=
9
f'(1)=9
f
′
(
1
)
=
9
, determine
r
r
r
and provide a brief explanation of how the value of
r
r
r
is obtained.
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