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Mathematics
Problem
Let
h
(
x
)
=
e
x
(
x
2
−
4
x
)
h(x)=e^{x}(x^{2}-4x)
h
(
x
)
=
e
x
(
x
2
−
4
x
)
. Which of the following gives the coordinates of the local maximum point of
h
h
h
? a)
(
1
+
5
,
2
(
1
+
5
)
e
1
+
5
)
(1+\sqrt5,\;2(1+\sqrt5)\,e^{1+\sqrt5})
(
1
+
5
,
2
(
1
+
5
)
e
1
+
5
)
b)
(
2
,
−
4
e
2
)
(2,\;-4e^{2})
(
2
,
−
4
e
2
)
c)
(
1
−
5
,
2
(
1
+
5
)
e
1
−
5
)
(1-\sqrt5,\;2(1+\sqrt5)\,e^{1-\sqrt5})
(
1
−
5
,
2
(
1
+
5
)
e
1
−
5
)
d)
(
1
−
5
,
2
(
1
−
5
)
e
1
−
5
)
(1-\sqrt5,\;2(1-\sqrt5)\,e^{1-\sqrt5})
(
1
−
5
,
2
(
1
−
5
)
e
1
−
5
)
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