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Mathematics
Mathematics
Problem
Let
g
(
x
)
=
(
e
2
x
)
(
ln
x
+
3
)
,
x
>
0
g(x)=(e^{2x})(\ln x+3),\;x>0
g
(
x
)
=
(
e
2
x
)
(
ln
x
+
3
)
,
x
>
0
. (a) Calculate
g
′
(
x
)
g'(x)
g
′
(
x
)
. (b) Hence determine the slope of the curve
y
=
g
(
x
)
y=g(x)
y
=
g
(
x
)
at the point where
x
=
1
x=1
x
=
1
.
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