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Mathematics
Mathematics
Problem
Let
H
(
x
)
=
x
2
G
(
x
)
H(x)=x^{2}G(x)
H
(
x
)
=
x
2
G
(
x
)
be differentiable for
x
>
0
x>0
x
>
0
. Given that
H
′
(
3
)
=
90
H'(3)=90
H
′
(
3
)
=
90
and
G
(
3
)
=
5
G(3)=5
G
(
3
)
=
5
, determine the value of
G
′
(
3
)
G'(3)
G
′
(
3
)
.
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