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Mathematics
Problem
Let
f
(
x
)
=
x
3
f(x)=x^{3}
f
(
x
)
=
x
3
and
g
(
x
)
=
ln
x
g(x)=\ln x
g
(
x
)
=
ln
x
for
x
>
0
x>0
x
>
0
. The function
h
(
x
)
=
f
(
x
)
g
(
x
)
h(x)=f(x)g(x)
h
(
x
)
=
f
(
x
)
g
(
x
)
. Determine the slope of the graph of
h
h
h
at the point where
x
=
1
x=1
x
=
1
. a)
3
3
3
b)
1
1
1
c)
0
0
0
d)
4
4
4
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