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Mathematics
Mathematics
Problem
Let
h
(
x
)
=
f
(
x
)
g
(
x
)
h(x)=\dfrac{f(x)}{g(x)}
h
(
x
)
=
g
(
x
)
f
(
x
)
, where
f
f
f
and
g
g
g
are differentiable at
x
=
3
x=3
x
=
3
. Given
f
(
3
)
=
2
f(3)=2
f
(
3
)
=
2
,
g
(
3
)
=
−
1
g(3)=-1
g
(
3
)
=
−
1
,
f
′
(
3
)
=
5
f'(3)=5
f
′
(
3
)
=
5
, and
g
′
(
3
)
=
4
g'(3)=4
g
′
(
3
)
=
4
, determine
h
′
(
3
)
h'(3)
h
′
(
3
)
.
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