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Mathematics
Problem
Let
g
(
x
)
=
x
r
g(x)=x^{r}
g
(
x
)
=
x
r
be differentiable for
x
>
0
x>0
x
>
0
with
g
′
(
x
)
=
15
x
14
g'(x)=15x^{14}
g
′
(
x
)
=
15
x
14
. Determine the exponent
r
r
r
.
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