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Mathematics
Problem
A differentiable function is defined by
y
(
x
)
=
e
3
x
h
(
x
)
y(x)=e^{3x}h(x)
y
(
x
)
=
e
3
x
h
(
x
)
. Suppose
y
′
(
x
)
=
8
e
3
x
y'(x)=8e^{3x}
y
′
(
x
)
=
8
e
3
x
for all real
x
x
x
and
h
(
0
)
=
2
h(0)=2
h
(
0
)
=
2
. What is the value of
h
′
(
0
)
h'(0)
h
′
(
0
)
? a)
6
6
6
b)
2
2
2
c)
0
0
0
d)
8
8
8
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